How I do this?
3x+4y=11
X-2y=-3

Answers

Answer 1

Answer:

[tex]\huge\boxed{x=1,\ y=2\to(1,\ 2)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x+4y=11\\x-2y=-3&\text{multiply both sides by (-3)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3x+4y=11\\-3x+6y=9\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\ \ \ \ 10y=20\qquad\text{divide both sides by 10}\\.\qquad\qquad\boxed{y=2}\\\\\text{subtitute it to the second equation:}\\x-2(2)=-3\\x-4=-3\qquad\text{add 4 to both sides}\\\boxed{x=1}[/tex]


Related Questions

Math Math Math Math Math

Answers

Answer:

see below

Step-by-step explanation:

sqrt(2)+ sqrt(98)

sqrt(2) + sqrt( 2*49)

sqrt(2) + 7sqrt(2)

8 sqrt(2)

Answer:

[tex]\sqrt{2}[/tex]+ [tex]\sqrt{98}[/tex]

 [tex]\sqrt{2}[/tex]+   [tex]\sqrt{2}[/tex] *49

[tex]\sqrt{2}[/tex] + 7[tex]\sqrt{2}[/tex]

8 [tex]\sqrt{2}[/tex]

Which statement is true about the lines?

Answers

Answer:

C. the lines are perpendicular

BRAINLY I NEED HELP ASAPPPP!!
After game 6, her mean number of points scored per game is 9.
How many points did Maya score in game 6?

A. 4
B. 8
C. 9
D. 10

Answers

Answer:

b

Step-by-step explanation:

8

What are the correct intermediate steps of the following data set when it is being sorted with the bubble sort? 15, 20, 10, 18
A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20
B. 10, 20,15,18 -- 10,15,20,18 -- 10,15,18,20
C. 15,20,10,18 -- 15,10,20,18 -- 10,15,20,18 -- 10,15,18,20
D. 15,18,10,20 -- 10,18,15,20 -- 10,15,18,20 -- 10,15,18,20

Answers

Answer:

A. 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Step-by-step explanation:

Bubble sorting can be defined as a technique or methodology whereby numbers that are not in their proper order are sorted into proper order that is from smallest to highest( increasing to decreasing order).

The method of bubble sorting involves the shuffling or swapping of adjacent numbers until the numbers are well sorted or arranged.

In the above question, we were given, a set of numbers:

15, 20, 10, 18

Step 1

20 is adjacent to 10

20 > 10

hence we swap

= 15,10,20,18

Step 2

From, 15,10, 20,18

20 is adjacent to 18

20 > 18

hence we swap

= 15,10,18,20

Step 3

From step 2, which gave us 15,10,18,20

15 us adjacent to 10

15 > 10

We swap

= 10,15,18,20

Hence,

15, 20, 10, 18 -- 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

Therefore, Option A is the correct option.

The correct intermediate steps of data 15, 20, 10, 18 set when it is being sorted with the bubble sort is; Choice A: 15,10,20,18 -- 15,10,18,20 -- 10,15,18,20.

Definition;

Bubble sort, otherwise termed the sinking sort, is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order.

With emphasis on the word adjacent, it is evident Choice A is the correct intermediate steps of the data set 15, 20, 10, 18 when it is being sorted with the bubble sort.

Read more:

https://brainly.com/question/15148294

Which of the following is a statistical question? A. What state were you born in? B. How tall is Ms. Lin? C. What are the ages of the students in your class? D. What is the formula for the circumference of a circle?

Answers

Answer:

C

Step-by-step explanation:

makes sense

los números reales se representan por​

Answers

Los números reales están representados por números racionales e irracionales.

Un número racional es un número real que se puede formar dividiendo dos números enteros (un número entero es un número sin parte fraccionaria). La palabra viene de "ratio".

Un número irracional es un número real que NO se puede hacer dividiendo dos números enteros (un número entero no tiene parte fraccionaria). "Irracional" significa "sin relación", por lo que no es un número racional.

¡Espero eso ayude!

Factorise P(2m+n)+(q-r)(2m-n)

Answers

Answer:

2Pm+Pn+2qm-qn-2rm+rn

Step-by-step explanation:

How do you do this question?

Answers

Step-by-step explanation:

F(x) = ∫ₐˣ t⁷ dt

F(x) is the area under f(t) between t=a and t=x.  When x=a, the width of the interval is 0, so the area is zero.

F(6) = 0, so a = 6.

F(x) = ∫₆ˣ t⁷ dt

F(6) = ∫₆⁶ t⁷ dt

F(6) = 0

Express the given expanded numeral as a Hindu-Arabic numeral.
(1x 10-1) + (4x10-2) + (9x10-3) + (7x10-4)
(1x 10-1) + (4x10-2) + (9x10 -3) + (7x10-4)=Type an integer or a decimal.)

Answers

Answer:

  0.1497

Step-by-step explanation:

1×.1 +4×.01 +9×.001 +7×.0001 =

.1 +.04 +.009 +.0007 = 0.1497

Which words or phrases define a ray [Geometry]

It consists of two end points

It goes in one direction and indefinitely

It’s an undefined term

It consist one endpoint

You used to points to name it

It consist of all points in between the two points

Answers

Answer:

It goes in one direction and indefinitely.

It consist one endpoint.

Step-by-step explanation:

A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.

suryana bought 16 watches for rs 16000. At what rate should he sell the watches to gain rs 3200?​

Answers

Answer:

Step-by-step explanation:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Answer:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Step-by-step explanation:

A lorry driver charges $1800 to carry 60 tonnes of weight. How much will he charge for carrying 80 tonnes at the same rate

Answers

Answer:

$2400

Step-by-step explanation:

60 tonnes = $1800

80 tonnes = $?

= 1800 × 80/60

= $2400

Step-by-step explanation:

$2400 to Carry 80tonnes of weight

hellllllllpppppp - Which expression is equivalent to x+x+y+y+3(2+4)?
A . 2x+2y+18
B.18x+18y
C. 4xy+10
D.22xy

Answers

Step-by-step explanation:

x + x + y + y + 3(2 + 4)

= 2x + 2y + 3(6)

= 2x + 2y + 18

evaluate the numerical expression. 8 X {[(7 + 4) X 2] - [(11 - 7) X 4]}

Answers

Answer:

48

Step-by-step explanation:

To solve this we need to do the operations in the brackets first. We should start with the innermost brackets. Then, we work our way outwards. To show my working out I will use an asterisk (*) for multiplication to not confuse X as a variable.

8*{[(7 + 4) * 2] - [(11 - 7) * 4]}  

= 8*{[(11) X 2] - [(4) X 4]}

= 8*{[22] - [16]}

= 8*{6}

= 48

Twice the sum of six "x" and seventy eight.

Answers

Answer:

2(6x+78)

Unless it's the exact number. You hadn't specified what x is.

please help o.o ¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯(┬┬﹏┬┬)(┬┬﹏┬┬)(┬┬﹏┬┬)Simplify 3x - 4 - 5x = 6 + 4x + 2

Answers

Bring all the X to the left side and all the numbers to the right side. ( remember to flip the signs )

3x - 4 - 5x = 6 + 4x + 2

3x - 5x - 4x = 6 + 2 + 4

-6x = 12

6x = -12

x = -2

Given that QS=87, QR= 27, and RS=x-8. Find the value of x.

Answers

Answer:

x = 122

Step-by-step explanation:

[tex] \because \: QS + QR = RS \\ \therefore \: 87 + 27 = x - 8 \\ 114 = x - 8 \\ 114 + 8 = x \\ 122 = x[/tex]

if you run for 4 hours at 8miles an hour and walk 8 hours at 2 miles an hour, how far will you you have gone at the end of 12 hours?​

Answers

Answer:

48 miles

Step-by-step explanation:

run -- 4 hrs at 8 mph = 4 • 8 = 32 miles

walk -- 8 hrs at 2 mph = 8 • 2 = 16 miles

32 + 16 = 48 miles

4 hours, 8 miles per hour. 8 times 4 equals 32. 8 hours, two miles an hour. 2 times 8 equals 16. Add them up, and you get 48 miles, which is the final answer.

Angles Find the values of x and y

Answers

Answer:

15 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

11x - 6 + 15x - 8 = 90

26x - 14 = 90

26x = 104

x = 4

11(4) - 6 = 44 - 6 = 38

13y - 14 + 38= 180

13y + 24 = 180

13y = 156

y = 12

13(12) - 14 = 156 - 14=142

Angle 1 and Angle 2 are complementary. The measure of Angle 1 is 21
more than twice the measure of Angle 2. Find the measure of Angle 1

Answers

Since both angles are complementary, then Angle 1 + Angle 2 = 90°

Using algebra,

let Angle 2 be X and Angle 1 be (2X + 21°)

Now we have an equation of,

( 2X + 21 ) + X = 90°

step 1 : open up the brackets first.

step 2 : bring 21° to the other side (rmb to flip the sign)

step 3 : bring the 3 over n it becomes " ÷3 "

( 2X + 21° ) + X = 90°

2X + 21° + X = 90°

3X = 90° - 21°

X = ( 90° - 21° ) ÷ 3

= 23°

Sub X=23° into Angle 1 ( 2X + 21° ),

2(23°) + 21° = 67°

Therefore,

Angle 1 = 67°

i hope my solution helps :))

Han wants to convert his Canadian dollars to euros for his trip to France. He has 252 Canadian dollars. The current exchange rate is 1.28 Canadian dollars per euro. How many euros will he have?

Answers

Answer:

196.88 euros

Step-by-step explanation:

Divide 252 by 1.28

252/1.28

= 196.88 euros

Can someone help me pls!

Answers

This question is about how transformations can affect graphs.

First, we'll want to get rid of that -4 on the function of F.

So we can reflect the function over the y-axis and then compress it by a factor of 4 to make the graph [tex]x^2[/tex].

Then we can move the graph over to the left 3 because the c value is positive, meaning that we move the graph over to the left.

Finally, we can move the function of by [tex]\frac{2}{3}[/tex] because the d value is positive, meaning that we move the graph up.

Hope this helps.

頑張って!

Homer and Bart plan to buy one computer for $499.00 strictly for gaming purposes. Games cost $49.99 each. Part A: Define each variable and write an algebraic expression to describe how much they will spend before sales tax, based on purchasing the computer and the number of games. Part B: If they purchase one computer and five games, how much do they spend before sales tax? Part C: Homer and Bart have friends. They want to purchase extra controllers. Each controller costs $24.99. Use an algebraic expression to describe how much they spend in total (before sales tax) when they purchase one computer, when they purchase any number of games, and when they purchase any number of extra controllers. Part D: What would be the total cost, before sales tax, if Homer and Bart purchase one computer, four games, and three extra controllers?

Answers

Answer:

use 499.00+the number of games times 49.99

Step-by-step explanation:

Please brailiest

Can someone help me plssss???

Answers

Yes the answer is 10

If x² + 5 = 14, then x2 + 5 – 3 =
A. 11
B. 12
C. 9
D. 17

Answers

Answer:

A

Step-by-step explanation:

X2 + 5 = 14 - 3 = 11

Find the sum. r/r^2-q^2 + 5/r+q​

Answers

Answer:

The answer is:  

[tex]\frac{6r-5q}{r^2-q^2}[/tex]

which agrees with the last answer option (D) in the list.

Step-by-step explanation:

In order to add rational expressions, we need to express them with the same denominator. Therefore we examine what factors there are in the first denominator, which happens to be a difference of squares which is readily factored out as:

[tex]r^2-q^2=(r+q)\,(r-q)[/tex]

the second denominator consists of only one of these factors: [tex](r+q)[/tex], then in order to express both rational expressions with the same common denominator, we multiply numerator and denominator of the second fraction by the factor: [tex](r-q)[/tex]

Then we get two expressions that can be easily added as shown below:

[tex]\frac{r}{(r+q)\,(r-q)} +\frac{5\,(r-q)}{(r+q)\,(r-q)} =\frac{r+5(r-q)}{(r+q)(r-q)} =\frac{r+5r-5q}{(r+q)\,(r-q)} =\frac{6r-5q}{r^2-q^2}[/tex]

Find 3/5 x 4/7 in simplest form

Answers

Answer:

3/5 * 4/7 = 12/35

you can find the answer by multiplying the numerator by the other numerator and the denominator by the other denominator

[tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

To evaluate the given multiplication in its simplest form, we will find the product of the given two fractions.

First, let us write the given fractions properly

That is,

[tex]\frac{3}{5} \times \frac{4}{7}[/tex]

Now, we will carry out the multiplication operation

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7}[/tex]

Then, we get

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}[/tex]

(NOTE: This is the simplest form as both the numerator and the denominator do not have a common factor)

Hence, [tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

Learn more here: https://brainly.com/question/13124034

After your yearly checkup, the doctor has some bad news and some good news. The bad news is that you tested positive for a serious disease, and the test is 99% accurate( i.e. that probability of testing positive given that you have the disease is .99, as is the probability of testing negative given that you don’t have the disease). The good news is that this is a rare disease, striking only one in 10,000 people. What are the changes that you actually have the disease?

Answers

Answer:

0.009804

Step-by-step explanation:

We are given;

probability of testing positive given that you have the disease is 0.99

Also, probability of not testing positive and not having the disease is 0.99

We are also told that it is a rare disease and so strikes only 1 in 1000 people = 0.0001

Let's denote positive test by T+, negative test by T¯, having the disease by D+, not having the disease by D¯.

So, we can now denote all the values in probability we have written earlier.

Thus:

P(T+ | D+) = 0.99

P(T¯ | D¯) = 0.99

P(D+) = 0.0001

Thus, P(D¯) = 1 - P(D+) = 1 - 0.0001 = 0.9999

Now, let's find probability of testing positive;

P(T+) = (P(T+ | D+) × P(D+)) + (P(T+ | D¯) × P(D¯))

Now, (P(T+ | D¯) is not given but by inspection, we can infer from the values given that it is 0.01

Thus;

P(T+) = (0.99 × 0.0001) + (0.01 × 0.9999)

P(T+) = 0.010098

Chances that one has the disease would be gotten from Baye's theorem;

P(D+ | T+) = (P(T+ | D+) × P(D+))/P(T+) = (0.99 × 0.0001)/0.010098 = 0.009804

HELP ASAP PLEASE Question 1 Part A What inference can be made about the "Using Our Imaginations" section in the Newsela article "Health Benefits of Reading, Writing, Are Not Just for Patients"? Part B Which evidence best supports the answer in Part A? “Reading stories is a chance for children and adults to talk about the complicated parts of life.”

Answers

The answer to the first one is A and the second one is D

(I took the test)

Answer:

Fist one:

A

Second one:

D

Step-by-step explanation:

→!Hope this helps I toke the test!←

What is the slope of the line?

Answers

La pendiente de una recta es la tangente del ángulo que forma la recta con la dirección positiva del eje de abscisas. En funciones no lineales, la razón de cambio varía a lo largo de la curva. La derivada de la función en un punto dado es la pendiente de la línea tangente en dicho punto.

F:V  7w7

Other Questions
Simplify the given expression.69^3= The formula x + y = 180 can be used to find the degrees of supplementary angles, where x is the smaller angle. Find the domain and range of this solution 3x-5)(x2+2x+1) Please show working Which equation represents the data shown in the table below? Fence Length (y) 100 150 180 240 Number of Posts (x) 11 16 19 25 A y 10x 1 B y 10(x 1) C y 10x 1 D y 10(x 1) what is a characteristic of an academic argument? A) It is reasoned B) it is structured C) it is based on evidence D) all of the above About half of the worlds population of 7.8 billion people live in urban areas. How many people live in urban areas? Which claim is not defensible?A. The world would be better off if political boundaries didn't exist.B. The government works better when the president and the majorityof Congress are from the same party.C. The nation's debt generally rises during times of war.D. Decreasing taxes on middle-class citizens improves the U.S.economy. Read the paragraph.Before the Industrial Revolution, most goods were made by hand, in peoples's homes. Workers would buy rawmaterials and complete each step in the process to make a finished product. Manufacturing by hand took a longtime, and therefore, the prices for finished goods was high. Industrialization changed all that. Machines tookover the manufacturing process. These machines were much more efficient than workers creating items byhand. This meant that many more items could be produced, drastically reducing their price, and making themmore affordable for consumers.Which would be the best example to use to support the information in this body paragraph?O The price of cotton cloth declined more than 50% from 1700 to 1800.O The price of shoes doubled from 1700 to 1800.O Fewer people owned firearms in 1800 than in 1700.O Fewer people lived in rural areas in 1800 than in 1700. Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to Colton's ratio? What kind of relationship did Jamestown have with the Powhatan? A) Both sides respected each others' lands. B) Both sides traded peacefully.C) Both sides violently fought each other. a car tire has a radius of 10.4 inches what distance will the tire travel after 20 rotations Number ofProtonsNumber ofNeutronsAtomicNumberMassNumberElement(symbol)2020AB9DE19FUsing the periodic table, complete the table to describe each atom. Type in your answers. Analyze the central conflict and its____ in a story to discover the theme The ____________ ___________, at least in the United States, came from three separate parts of society: the economy, the government, and the military. More importantly, __. ______ _____ said in his book called, ___ ________ _______that the elites from each part of society tended to know each other, interact, and even move from being elite in one part of society to being elite in another. What was Mary Shelleys (the author of the novel Frankenstein) position in society, and how did it both influence her and become influenced by her? 20. The temperature of a pot of water is 62*F. The temperature increasesby 20*F per minute when being heated. Write an equation to representthe linear relationship. * Find the point-slope equation for the line that passes through the points (30,2) and (15,-28) use the first point in your equation 1. What is a theme? The life lesson the author teaches through the storyThe decision the character makes to succeed in lifeThe person who works against the protagonistThe problems that occur throughout a piece of fiction, stated in just one word 3. A rock has a volume of 6 cm3 and a mass of 24g. What is the density of the rock? Point P is the interior of LaTeX: \angle OZQ.\: O Z Q . If LaTeX: m\:\angle\:OZQ\: m O Z Q = 125 and LaTeX: m\angle OZP\: m O Z P =62, what is LaTeX: m\angle PZQ m P Z Q ?