Question

Solve the following system of equations:

x − 2y = 14
x + 3y = 9

(1, 12)
(−1, −12)
(12, −1)
(12, 1)

Answer 1

To solve this system of equations, you will want to first eliminate one of the variables by adding the two equations together, thus:
x-2y=14 Multiply by 3
x+3y=9 Multiply by 2
---------
3x-6y=42 Add
2x+6y=18
---------
5x=60
x=12
Now that you have x, you just need to substitute it back into the first equation and solve for y:
(12)-2y=14
-2y=2
y=-1
And there you go! Your answer is (12, -1).

Answer 2

(1, 12)
(−1, −12)
y=-1