Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17

Answers

Answer 1

Answer: y = 1 and x = 4

Step-by-step explanation:

-8x + 10y = -22

8x - 15y = 17

-----------------------

- 5y = -5 Add the two equations to eliminate x

y = 1 Solve for y

=====

8x - 15y = 17 (y = 1) Use y=1 in either equation

8x - 15 = 17

8x = 32

x = 4 Ta da

Answer 2

Answer:

solution:  x = 4, y = 1 or (4, 1)

Step-by-step explanation:

To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):

-8x + 10y = -22

+ 8x -  15y =  17

       - 5y  = -5

Divide both sides by -5 to solve for y:

[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]

y = 1

Next, substitute the value of y into one of the equations to solve for x:

-8x + 10y = -22

-8x + 10(1) = -22

-8x + 10 = -22

Subtract 10 from both sides

-8x + 10 - 10 = -22 - 10

-8x = -32

Divide both sides by -8 to solve for x:

[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]

x = 4

Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).


Related Questions

I’m giving the right
Answer brainlyest and 5 star rating

Answers

Answer:

the first one i think sorry it im wrong

Step-by-step explanation:

the answer is the third one

Which two triangles are congruent by the SSS Theorem? Complete the congruence
statement.

Answers

Triangle CED and YZX are congruent

Hey guys, our adviser showed us an example on how to solve the problem that is given in our module. Unfortunately, there's a part of the given example that I can't recall. So, can you explain how to get the answer? (picture above)​

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Given :

45x[ 4/9 = 1/5 + 1/x ]

To Do :-

To multiply 45x to all the terms .

Solution :-

Given that ,

45x[ 4/9 = 1/5 + 1/x ]

Distributive property of Multiplication over addition ,

a( b + c ) = ab + ac

So that ,

45x * 4/9 = 45x* 1/5 + 45 x * 1/x 5x * 4 = 9x + 45 20x = 9x + 45

Step-by-step explanation:

As it says, multiply 45x to all the terms. This is required to get rid of fractions.

See the steps below:

45x [ 4/9 = 1/5 + 1/x]45x(4/9) = 45x(1/5) + 45x(1/x)    ⇒ multiply5x(4) = 9x + 45                          ⇒ simplify20x = 9x + 45                            ⇒ end result without fractions

Hey!

Need help please...

[tex]\sf{Simplify~ 6x[/tex] ÷ [tex]\sf{23 = 0.[/tex]

answers/w explanation ✅ Nonsense answers, that's not the question I ask for will be reported.

Answers

Hey there!

6x ÷ 23 = 0

6x = 23 × 0

6x = 0

x = 0/6

x = 0

Hope it helps ya!

Note :- There's a latex error so I think this was the question you meant ~~.

Answer:

[tex] \frac{6x}{23} = 0[/tex]

[tex]6x = 0 \times 23[/tex]

[tex]6x = 0[/tex]

[tex]x = \frac{0}{6} [/tex]

[tex]x = 0[/tex]

pls help!!!!! i will give brainliest!!!!!

Answers

Answer:

-2

Step-by-step explanation:

all you gotta do is look to see where the line intersects the y axis which is -2 here

(9 x 10⁶)(8 x 10⁻⁴)= ?

Answers

Answer: 7.2x10 3

Step-by-step explanation:

Answer: 7.2 x 10^3 or 7200

Step-by-step explanation:

HELPPPPP PLEASE!! ;)

Answers

Answer:

its 2 8/11

Step-by-step explanation:

i hope this helps have a good day

Can someone solve this equation.

Answers

Answer:

1/2

Step-by-step explanation:

5) John Tavares needed some new plants for his apartment. Each tree he purchased was
21.99. If John bought 4 trees and left a 34% tip, how much did he pay in total for the
plants including the tip?

Answers

Answer:

$117.87

Step-by-step explanation:

4 trees x $21.99 = $87.96

34% x $87.96 = $29.91 tip

Total = $87.96 + $29.91 = $117.87

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
AB = RS
AB = 2RS
ABC ~ RST
ABC = RST
m<BAC = m<SRT
m<BAC = 2m<SRT​

Answers

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

AB = RS∠ABC ~ ∠RSTΔABC = ΔRSTm∠BAC = m∠SRT

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

AB = RS; Image formed by rigid transformation∠ABC ~ ∠RST; Definition of similarityΔABC = ΔRST; By definition of congruencym∠BAC = m∠SRT; by the definition of congruency

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Hurry leaving for church

Answers

Answer:

250 ft/mile

Step-by-step explanation:

.. ......................

The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Thickness of the book is ~

[tex]20 \: mm = 2 \: cm = 0.02m[/tex]

Refer to the attachment for solution ~

Is the list of numbers an arithmetic sequence?
22,25,27,30,33,…

Answers

Answer:

No

Step-by-step explanation:

The jump from each of the numbers is 3 but from 25 to 27 is 2 therefore it is not an arithmetic  sequence.

Rittle - Mary didn't know how to pronounce the name but she knew that she had to go inside to impress her parents, where was she? (giving out the answer in 5 mins. SO HURRY)

Answers

at school i think because i’m so confused


Hilary put 5 items on his birthday wish list. He received 3 of the items for his birthday. What percent of the
items did Hilary receive ?

Answers

Answer:

60%

Step-by-step explanation:

100 ÷ 5 = 20

20 × 3 = 60

60 = 60%

I hope this helps

If you have swimming every 5 days and diving every 3 days and today you have both in how many days will u have bit classes again

Answers

Answer:

In 15 days

Step-by-step explanation:

So you have to find the smallest common factor(a number they both share in the multiplication table) which in this case is 15.

I think you meant to say both not bit lol

Have a nice day! :-)

a is a negative odd number
choose two words from the list which describe a^2
Negative
Positive
Odd
Even

Answers

Answer:

even

Step-by-step explanation:

because a is not and odd number its even

The requried two words that describe A² are "Odd" and "Positive".

What are odd numbers?

Odd numbers are integers that cannot be divided evenly by 2, which means they have a remainder of 1 when divided by 2. They can be represented as 2n + 1, where n is an integer. Examples of odd numbers include 1, 3, 5, 7, 9, and so on. The opposite of odd numbers are even numbers, which can be divided evenly by 2.

The square of any negative or positive number is always positive. Thus, the first two options "Negative" and "Positive" do not apply to A². As for "Even", it describes a number that is divisible by 2, while "Odd" describes a number that is not divisible by 2. Since A is an odd number, A² will also be odd, as it is the product of an odd number multiplied by itself.

Therefore, the two words that describe A² are "Odd" and "Positive".

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#SPJ2

Which statement is true about the relationship between the height of the plant and the number of days?

A. This relationship is a function because the plant can be more than one height at a time.
B. This relationship is not a function because the plant can be more than one height at a time.
C. This relationship is not a function because the plant can only be one height at a time.
D. This relationship is a function because the plant can only be one height at a time.

Answers

This relationship is a function because the plant body can be of only one particular height at a time.

A function can be defined as a relationship between a set of inputs having only one output each. In other words, a function is basically a relationship between inputs and outputs; where each input is related to only one output at a time. Functions are said to occur when the recorded value of x is varied each time. Since we know that the height of the plant (the x-value) varies by each day, Therefore it is a function.

thus we can conclude that the correct option for the relationship between the height of the plant and the number of days is option D, which tells that this relationship is a function because the plant body can only be of one particular height at a time.

To learn more about functions

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what is the value of x in this figure

Answers

Answer:

43°

Step-by-step explanation:

the blue angle is congruent with the 80° because they are vertical angles

the red angle is 57° because 123° and 57° angles are supplementary angles

the green angle is 43° because the sum or angles in a triangle is 180°

82% of the 200 animals in a dog or cat rescue centers are cats. What percentage are dogs?
A. 82%
b. 59%
C. 24.39%
D. 41%

Answers

The answer to your question is 59%

Juan is paid a salary of $302 biweekly find Juan’s earnings per year

Answers

Answer:

7852

Step-by-step explanation:

There are 52 weeks in a year

Divide by 2 to determine bi-weekly

52/2 = 26

You will be paid 26 times in a year if you are paid bi-weekly

302 * 26

7852

Perform the operation. Enter your answer in scientific notation.
9 x 10^*8 - 5.3 x 10^*8 =

Answers

Answer:

3.7x10^8

Step-by-step explanation:

did it on calc

If you want to divide 4 by 2/5 you can multiply 4 by 5, then divide it by 2 or multiply it by 1/2.

Answers

Step-by-step explanation:

to divide by a fraction is the same as to multiply by the upside-down fraction.

in your example

4 / 2/5 = 4 × 5/2 = 20/2 = 10

by the way, also a whole number is a fraction.

4 = 4/1

so, fully formal, the whole operation above looks like

(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10

Solve for n
n - 17=3

Answers

Answer:

N=20

Step by Step:

First you add 17 to both of the sides:

N−17+17=3+17

Second, you simplify;

N=20

Brainiest please?

Answer:D

Step-by-step explanation:

2x √3x+1
Find the derivative

Answers

Answer:
3 3/2 x1/2
explanation:
download math-way it helps a lot

Answer:

3 3/2x1/2

Step-by-step explanation:

on a coordinate grid what is the distance of (-2,4) and (5,4)

Answers

Answer:

the distance is 7 units

Step-by-step explanation:

Since the we calculate the distance between (-2,4) and (5,4) and those points have the same y=4 coordinate then they are both part of a horizontal  line.

The distance is found by looking at the x-axis.

From -2 to 5 so is form -2 until 0 is (2 )+ (5 )more = 7

The table shows the transportation method of employees at a certain company. What percent of the employees walk to work?

Answers

Answer:

0.5% of employees walk to work.

Step-by-step explanation:

Choose the correct answer​

Answers

Answer:

b) 50 degrees

Step-by-step explanation:

I'm not sure if it 100% correct but this is what i remember:

BCE is a straight line and a straight line is equal to 180 degrees.

If AB=AC then the angle of both those corners will be 180-115

which equals to 65 degrees (both angles)

Now because all corners of a triangle add up to 180

you can do 180-65-65 which is 180-130

this equals to the angle BAC which is 50 degrees

what is the perimeter of 10cm length and 8cm width of a rectangle ?

Answers

Answer:

36 cm

Step-by-step explanation:

rectangle perimeter = sum of all the side

10+8+10+8=36 cm

Answer:

Step-by-step explanation:

Perimeter =2(10+8)=36 cm.

HURRY PHOENIX! Hey Phoenix It's worth 100 points!
What should the following equation be multiplied by to eliminate the decimals? -200k – 3.01 = 3.3
100
10
2
20

Answers

10

3.3×10= 33

Hope this helped you- have a good day bro cya)

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