Question

Use elimination to solve for x and y:
-2x-y=9
2x-9y=1

Answer 1

First, multiply the first equation by 2 to eliminate the x variable:

-4x-2y=18
2x-9y=1

Now, add these two equations together to eliminate the x variable:

-4x-2y+2x-9y = 18+1
-11y = 19
y = -19/11

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:

-2x-(-19/11) = 9
-2x + 19/11 = 9
-2x = 9 - 19/11
-2x = 99/11 - 19/11
-2x = 80/11
x = -40/11

Therefore, the solution to the system of equations is x = -40/11 and y = -19/11.