solve the following system by the elimination method x+y=-6
x-y=12
To solve the system of equations using the elimination method, you want to eliminate one of the variables by adding or subtracting the two equations. In this case, you can eliminate the variable "y" by adding the two equations together.
(x + y) + (x - y) = -6 + 12
Combine like terms:
2x = 6
Now, solve for "x":
2x = 6
x = 6/2
x = 3
Plug the value of "x" back into one of the original equations to solve for "y". Let's use the first equation:
x + y = -6
3 + y = -6
Subtract 3 from both sides:
y = -6 - 3
y = -9
So, the solution to the system of equations is x = 3 and y = -9.