what is the result of adding these two equations

Question

-5x-9y=3

5x-9y=-2

Answer 1

-5x - 9y = 3

5x - 9y = -2

When adding these equations, -5x + 5x cancels because -5 of anything + 5 of anything = 0 of that thing.

-9y + -9y = -18y because -9 of anything + -9 of anything = -18 of that thing.

3 + -2 is the same as 3 - 2, which equals 1.

Therefore, the combined equations are:

-18y = 1

AND y = -1/18, which can be substituted back into one of the original equations to solve for x.

5x - 9(-1/18) = -2

1. -9(-1/18) = 9/18 = 1/2, SO:

5x + 1/2 = -2

1. -2 - 1/2 = -2.5, SO:

5x = -2.5

1. -2.5/5 = -1/2, SO:

x = -1/2

Answer 2

-5x - 9y = 3

5x -9y = -2

-18y = 1 is the result of adding the two equations. (-5x + 5x = 0)

You didn't say if you needed to solve the system of equations as well, but if you did, divide both sides by -18 to find the value of y, then substitute back into either of the original equations to find x.