Answer:
(9, -4)
Explanation:
The question says to solve using elimination. Subtract the 2nd equation from the 1st equation, thus eliminating the y term completely. You will be left with an equation in terms of x, which you will then solve for and substitute into one of the original equations to calculate y.
-x - 2y = -1
- (-2x - 2y = -10)
_____________
Distribute the negative sign throughout the entire equation to reduce chance of making mistakes.
-x - 2y = -1
+ (2x + 2y = 10)
______________
x + 0y = 9
x = 9
Now substitute this value into the first equation to solve for y.
-(9) - 2y = -1
-9 - 2y = -1
-2y = 8
y = -4
So the solution of the equation is (9, -4).