Solve the system: −3x−4y=−18 −2x+4y=8 Put your answer in ordered pair form: (x,y) Show your work in the box below to receive full credit.
To solve the given system of equations, we can use the method of elimination. By adding the two equations together, we can eliminate the variable "y" in order to solve for "x".
(-3x - 4y) + (-2x + 4y) = -18 + 8
-3x - 2x - 4y + 4y = -10
-5x = -10
x = -10 / -5
x = 2
Now that we have the value of "x", we can substitute it back into one of the original equations to solve for "y".
-2(2) + 4y = 8
-4 + 4y = 8
4y = 8 + 4
4y = 12
y = 12 / 4
y = 3
Therefore, the solution to the system of equations is (2, 3).