Question

Solve system of equation using elimination

Answer 1

First let's get rid of the x by multiplying the tip equation by -2

-2 (-6x - 2y = -4)
+
(-12x - 5y = -13)

Distribute

(12x + 4y = 8)
+
(-12x - 5y = -13)

x cancels out and you're left with

-1y = -5
y = 5

Now solving for x, plug in your y into one of the equations

-6x - 2(5) = -4
-6x - 10 = -4
-6x = 6
x = -1

(-1 , 5) is the solution