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Solve the system of equations below by elimination. Write your answer as an ordered pair. e.g. (2,3)

Solve the system of equations below by elimination. Write your answer as an ordered-example-1
User Jasmina
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2 Answers

4 votes
(45,35)
hope this helps
User Mattis Asp
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6 votes

Answer:

(45,35)

Explanation:

1 - Stack the equations on top of each other

3x - 4y = -5

4x + 4y = 40

2 - We can eliminate by subtracting the bottom equation from the top equation

3x - 4y = -5

- 4x - 4y = 40

3 - The y's cancel out, leaving us with...

3x = -5

- 4x = 40

4 - Continue simplifying

-1x = -45

5 - We can switch the -1x with -x to make things simple

-x = -45

6 - Positize (make it positive) the statement

x = 45

7 - Halfway there! Substitute the x value into one of the equations

(3 * 45) - 4y = -5

8 - Solve

135 - 4y = -5

Minus 135 on both sides

-4y = -140

Divide by -4 on both sides

y = 35

9 - Here is your answer!!

x = 45

y = 35

(45,35)

User Ibrahim Hussein
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