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

(45,35)

Step-by-step 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)

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