Question

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.

(1 point)

Answer 1

To solve the system, we will use the method of elimination.

We will eliminate the variable y by adding the two equations together:

(-3x - 4y) + (-2x + 4y) = -18 + 8
-3x - 2x + 4y - 4y = -10
-5x = -10
We can solve for x by dividing both sides of the equation by -5:
x = 2

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

-3(2) - 4y = -18
-6 - 4y = -18
-4y = -18 + 6
-4y = -12

Dividing both sides of the equation by -4, we get:
y = 3

Therefore, the solution to the system of equations is (x, y) = (2, 3).