Solve: 2x - 3y = 9 and x + 2y = 1​

Answers

Answer 1

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 9 → (1)

x + 2y = 1 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = 1 - 2y → (3)

Substitute x = 1 - 2y into (1)

2(1 - 2y) - 3y = 9

2 - 4y - 3y = 9

- 7y + 2 = 9 ( subtract 2 from both sides )

- 7y = 7 ( divide both sides by - 7 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 1 - 2(- 1) = 1 + 2 = 3

solution is (3, - 1 )


Related Questions

What is the solution of the equation 56 = 2.8y?
A. y = 20
B. y = 156.8
C. y = 2
D. y = 58.8

Answers

the answer would be a:)

PLEASE NO LINKS I REALLY NEED THIS ANSWERED On a math test, Larissa was asked to find the points where the following equations intersect.

y = x2+ x – 4
y = -2x + 6

Which line did Larisa make a mistake, please explain
Her work is show below

Answers

Answer:

just use demos graphing calculator

Step-by-step explanation:

PLEASE HELP!!! Classify each real number. List all the subsets in which the number belongs.

Answers

Answer:

9^3 is Natural, Whole, Integer, and Rational

7/4 is Rational

√3 is Irrational

0 is Whole, Integer, and Rational

Thinking Process:

Alright, to start, with 9^3, it equal 729. This is a natural, whole, integer, and rational number. It is a natural number because it follows the counting (1, 2, 3...etc). Because of this, it is also part of all of the other rational categories as well.

With the next one, 7/4, this equals 1.75. It is not a natural, whole, or integer number because it is a decimal. However, it is rational, because it is still definite.

Next, with √3, this equals 1.73205.... It is irrational because it is not definite as it is a sequence of numbers that go on forever, being unpredictable in nature.

Last is 0, it is not a natural number because it does not follow the counting (1, 3, 3...etc). But it is whole because it follows the counting (0, 1, 2, 3...etc). This is along with it being an integer and rational because of this.

ASAP Right answer only please??!!!!

Answers

Answer:

The answer is 17 or x is 17

Someone help!

If there are 365 days in a year and you buy 365 $15 Starbucks gift cards. How much will that cost?

Answers

Answer:

If you buy a 15 dollar gift card every day for a year, it will cost $5,475.

Just take the price, multiply it by the amount.

Answer:

$5475

Step-by-step explanation:

365 X 15 =

(365 x 10) + (365 x 5) =

3650 + 1825 =

$5475

Is the number √5 rational, irrational, both rational and irrational, or neither rational nor irrational?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The square root of 5 ([tex]\sqrt{5}[/tex]) is irrational.

»»————- ★ ————-««  

Here’s why:  

A rational number is a number that can be rewritten as a fraction of two integers with a nonzero denominator.  Rational numbers include integers, fractions, terminating decimal, or repeating decimals.A square root that is perfect would be rational. A non-perfect square root is irrational.  

⸻⸻⸻⸻

Since the square root of 5 is not a perfect square, it would be irrational.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round to the nearest hundredth.

Answers

Answer:

the perimeter to the nearest hundred is 256

Please help me quick please solve in inequality form

Answers

Answer:

Answer OPTION C

AT LEAST... means that she needs 80% and more

Meaning its must be equal to 80% or greater than 80%

Average has to do with Mean.

Her mean would have to be

The sum of the 3 last algebra tests plus the unknown one she's supposed to have to complete 80%

So

Thatll be

80+75+86 + x /(4) ≥ 80

241 + x/(4) ≥80

Option C

easy short math question plz help me

Answers

Answer:

                                                 Class

                                    YES                  NO             TOTAL

                    YES         26                      9                   35

Country

                     NO         37                     26                  63

                TOTAL        63                     35                  98

Andrew sold 60 baseball cards to a friend . This was 80% of Andrews total baseball card collection. How many total baseball cards where in Andrews collection ?

Answers

Answer:

75

Step-by-step explanation:

We know that 80% of Andrew's (former) baseball card collection is 60. Thus, We divide 60 by 80% (equal to 0.8) to obtain [tex]\frac{60}{0.8}=75[/tex].

Answer:

In total there were 75 cards in Andrews collection.

Step-by-step explanation:

We know that 60 is 80% of the total amount of cards Andrew has. Therefore, all we have to do to find the total number of baseball cards is to divide 60 by 80 to find 1% and then multiply the result by 100 to get 100% (the total amount of cards). And so we get...

60 / 80 x 100 = 60 / 0.8 = 75

PLEASE HELP?? thank you!!

find n

answer has to be in simplest radical form!

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

look up a 30 60 90 triangle

The guy above me is right

If a histogram is right skewed, which will be greater the mean or the median? Type a single word answer in the space

provided, for example if the answer is mode, type mode.

Answers

Answer:

Mean is greater

Step-by-step explanation:

For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.

When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.

which divisor of -2x^3 - 5x^2 + 4x - 2 results in a remainder of -14

Answers

Answer:

[tex]f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\[/tex]

option 1: x + 2

it takes 5 hours 15 mins to get to Glasgow by train from London. Glasgow is 403miles from London? what is the average speed of the time?
please explain step by step​

Answers

Answer:

London to Glasgow FAQs

How long does it take to travel from London to Glasgow by train? The journey takes 4 hours 29 minutes on average.

The journey takes 4 hours 29 minutes on average.

Find the value of x.
с
130°

Answers

Answer:

[tex]x = \frac{130}{2} = 65[/tex]

What is the area of the following circle?
Either enter an exact answer in terms of 7 or use 3.14 for TT and enter your answer as a decimal.
d=10
units?

Answers

Answer:

78.5 is the answer

10/2 = 5

5 x 5 = 25

3.14 x 25 = 78.5

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

BC = 1.71

Step-by-step explanation:

SOHCAHTOA

Cosine = Adjacent over Hypotenuse

cos70 = ? / 5

? = 5*cos70

? = 1.7101

Janet is comparing prices of bottled drinks. She finds one bottle of water that costs $1.92 and contains 12 ounces. She then finds one bottle of soda that costs $2.40 and contains 16 ounces. Which bottle costs less per ounce?

it a short answer response

Answers

Answer:

1 ounces of water= $0.16

1 ounces of soda= $0.15

Water costs $0.16 per ounces while soda costs $0.15 per ounces which means soda costs less than water per ounces.

WILL GIVE BRAINLIEST!
Ify is floating freely in outer space. The gravitational forces pulling on her body are negligible except for the forces from a nearby asteroid (a) the nearest planet (p) and the nearest star (s) The asteroid, planet, star, and Ify all lie in the same plane.
a= (2,4)
p=(-1.-3)
s=(8,2)

Answers

Answer:

The magnitude of the net gravitational force acting on Ify is 9.1 newtons.

Ify is getting pulled in a direction of 6.2 radians.

Step-by-step explanation:

The vector g = (9,-1)   describes the net gravitational force acting on Ify.

We can find the magnitude of  g, using the Pythagorean theorem.

Tan?cos? Sin? What is the m

Answers

Answer:

45º

Step-by-step explanation:

Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.

Plz answer i'll give brainliest but it has to be right.

Answers

3 -3/4 and 2 pls brainlest

Find the value of x in the triangle shown below.
ac
5

Answers

the value of x is equal to 3

help me pwease I am stuck

Answers

Answer:

he x-axis, and Number of Potatoes on the y-axis. 5 pounds is 12 potatoes; 10, 24; 15, 36.

Step-by-step explanation:

Complete the equation to show the relationship between the price and the weight w . P= _ w

Answers

Answer:

[tex]p = 0.3w[/tex]

Step-by-step explanation:

Given

[tex]w \to weight[/tex]

[tex]p \to price[/tex]

[tex](w,p) = (12,3.60)[/tex]

Required

The equation

First, we calculate the unit ratio (k)

This is calculated by dividing price by weight

[tex]k = p/w[/tex]

[tex]k = 3.60/12[/tex]

[tex]k = 0.3[/tex]

Recall that: [tex]k = p/w[/tex]

Make p the subject

[tex]p = kw[/tex]

Substitute [tex]k = 0.3[/tex]

[tex]p = 0.3w[/tex]

Marking brainliest if you answer all 3 of them n

Answers

1) Equation: y = 5x + 1

Missing Value: 51

2) Equation: y = 4x

Missing Value: 28

3) I have no idea for this one... sorry!

Can someone help pls

Answers

C) how many sweets did they share altogether. We must know how many sweets they had in order to simplify the ratio with this information nothing can be done

Answer:

Age of Sean = 15

Age of Ricki  = 10

[tex]Ratio \ of \ their \ age = 15 : 10 = 3 : 2[/tex]

[tex]Sum \ of \ the \ ratio = 5[/tex]

[tex]Let \ number\ of sweets \ be \ x[/tex]

[tex]Number \ of \ sweets \ Sean \ got = \frac{3}{5} * x\\\\48 = \frac{3}{5} * x\\\\x = \frac{48*5}{3} = 80[/tex]

[tex]Total \ number \ of \ sweets = 80\\Sean \ got \ 48\\Number \ of \ sweets \ Ricki \ got = 80 -48 = 32[/tex]

Ans : a) 3  : 2

       b) 32 sweets

       c) 80 sweets

Determine the perimeter of the shape below

Answers

Answer:

43.566 ft

Step-by-step explanation:

Straight sides: 2 long 1 short

2 x 10 + 8 = 28 ft

Curved side: Remember that the circumference of a circle is 2πr or πd.

Since this is a semicircle, divide the circumference you get by 2.

From the diagram: d = 8

total circumference = 8 x π = 8π

semicircle = 8π ÷ 2 = 4π ft

Total perimeter

= (28 + 4π) ft

= (28 + 12.566) ft (5sf)

= 43.566 ft (5sf)

Answer : 40.57 ftStep by step explanation :

The radius of the hemicircle is r = 8/2 cm = 4 cm.

So the perimeter of the hemicircle part is

[tex]\pi \times r \: = (22 \div 7) \times 4 = 12.57 \: cm[/tex]

The perimeter of the rectangular part = 10+10+8 = 28 cm.

So, the final answer is

[tex]28 \: cm + 12.57 \: cm = 40.57 \: cm[/tex]

If two triangles are congruent, then all three___and all three___are congruent.

Answers

Answer:

Angles and Sides (or sides and angles, doesn't matter).

Step-by-step explanation:

Congruent triangles all have the same angle measures and side lengths.

Please mark me as brainliest!!!!!!!

What is the value of m in the equation 1/2 m - 3/4 n = 16, when n=8?
20
32
44
48​

Answers

Answer:

48 567i900yhhf free in nkko of h

Answer:

answer is 44

Step-by-step explanation:

3/4ths of 8 is 6, 1/2m + 6 = 16 then becomes 1/2 m = 22 and m = 44

What is the area of the figure below?

Answers

Answer:

31.5

Step-by-step explanation:

hope this helps

Other Questions
Which of the following was an effect of Manifest Destiny? A magnetic material would always be what to a magnet what is the correct meaning of the word polluted?once water is polluted it is very difficult to restore it to its earlier condition brought together increased in volume made different tuned unfit What are 2 examples of verbs that are not AR verbs? (Hint: think about irregular verbs) The Mexican culture has a tendency to accept large power distances. That is, in general, Mexicans believe that everyone has their place in an order of ______________. A. Bosses and subordinates each view the other as different types of people. B. Subordinates believe that their bosses are and should be inaccessible and that bosses have certain privileges by innate right. C. Because most Mexican workers will extend the same power distance relationships to executives from the United States, you might find this gulf between worker and management difficult to accept. Which phrase best completes the diagram? Physical geography of eastern and Central AfricaRich mineral resources > Mostly tropical climate > ?A. Lakes and rivers full of fishB. Extreme and unpredictable seasonsC. Powerful seasonal monsoonsD. Little fertile land for farming What is the solution to the equation below? (Round your answer to twodecimal places.)3.6* = 15.57 In which types of cells must mutations occur in order for the mutation to be passed onto future generations? A Somatic cells B Genes C Gametes D Alleles Find the area of the figure. Read the excerpts from Roosevelts "Four Freedoms" speech and Lincolns "Gettysburg Address.Roosevelt:This nation has placed its destiny in the hands and heads and hearts of its millions of free men and women; and its faith in freedom under the guidance of God. Freedom means the supremacy of human rights everywhere. Our support goes to those who struggle to gain those rights or keep them. Our strength is our unity of purpose. To that high concept there can be no end save victory.Lincoln:To be here dedicated to the great task remaining before us that from these honored dead we take increased devotion to that cause for which they gave the last full measure of devotion that we here highly resolve that these dead shall not have died in vain that this nation, under God, shall have a new birth of freedom and that government of the people, by the people, for the people, shall not perish from the earth.In these excerpts, Roosevelt states "this nation has placed its destiny and Lincoln states "shall not perish from earth. With these phrases, both presidents are stressing the importance ofachieving victory no matter what the cost.ending the war as quickly as possible.preserving freedom far into the future.making tough sacrifices for ones nation. What is the percent by mass of magnesium in a 1000 g sample of ocean water (solution) that has 1.36 g of magnesium ions? Why is it important that people charged with a crime have the right to an attorney? to give everyone the same protections they are entitled to under the law to have free speech to give them the right to freedom of the press if they are found guilty to have government officials participate in their trial PLSSSS HELP I WILL GIVE BRAINLIEST please help me on my sister's module.great answer = automatic brainliestplease don't try anything funny. Which of the following safety and effectiveness exercise factors considers the speed and control of an exercise? a) momentum b) alignment c) biomechanics d) stability How did the Civil War contribute to the long drive? * A line passes through points (-3,5) and (2,-10) which equation represents the line Which was NOT an example of a push factor in immigration?A. German Jews fleeing religious persecution.B. Swedes settling on public land in the United States.C. German artisans put out of business by factory-made productsD. Catholics who faced discrimination in Ireland came to the United States. A triangle has angle measurements of 53, 37, and 90. What kind of triangle is it? What is the number of moles of Sodium Chloride (NaCl) that is present in 29.22g sample of it?