Use elimination to solve for x and y: -2x-y=9 and 2x-9y=1
To solve this system of equations using elimination, we will add the two equations together to eliminate either x or y.
-2x - y = 9
2x - 9y = 1
When we add the two equations together, we get:
-2x - y + 2x - 9y = 9 + 1
-10y = 10
y = -1
Now that we have found the value of y, we can substitute this value back into one of the original equations to solve for x. Let's use the first equation:
-2x - (-1) = 9
-2x + 1 = 9
-2x = 8
x = -4
Therefore, the solution to the system of equations -2x - y = 9 and 2x - 9y = 1 is x = -4 and y = -1.