Question

A system of equations is shown below.

Answer 1

You can use the process elimination to solve. In other words, subtract or add the equations like normal.

5x + 2y = -15

+ 2x - 2y = -6

Because there is a 2y and -2y, we can add both equations to eliminate the y so that we can figure out what x is:

5x + 2x = 7x

2y + (-2y) = 0

-15 + (-6) = -21

We now have 7x = -21

Divide all by 7 to get x = -3

Plug in -3 to any of the two equations. I will use the second equation:

2(-3) - 2y = -6

-6 - 2y = -6

-2y = 0

y = 0

This means that the solution to the system of equations is (-3, 0) in the form of (x, y).