Question

Solve the following system by using graph paper or graphing technology.

2x + 2y = -6
3x - 2y = 11

What is the solution to the system?

(-1, -7)
(1, -4)
(2, -1)
(3, -2)

Answer 1

x = - 3 - y
then you substitute x on the second equation, and you should be able to solve it.
Or you can just add both equations. either way its ok

Answer 2

first solve in terms of x or y. you can pick any equation.
2x+2y=-6
2x=-6-2y
x=-3-y
then sub (-3-y) for x in second equation to solve for y.
once you get y the rest should be straightforward.

Answer 3

2x + 2y = -6
3x - 2y = 11

Hint: Add the two equations together
5x = 5

Answer 4

x = 5/5
x = 1

Answer 5

Only one solution where x = 1

Answer 6

But you can solve for y to make sure. Another way to check is to substitute the (x,y) point you believe is correct into the original equations