2x + y = 14
4x - 6y= 4 system of equations substitution

Hey there! :)

Equation 1) -2x + y = 14

Equation 2) 4x - 6y = 4

Add 2x to both sides of equation 1 so that we can get the value of y.

y = 2x + 14

Now, plug the value of y into our second equation.

4x - 6(2x + 14) = 4

Simplify.

4x - 12x - 84 = 4

Add 84 to both sides.

4x - 12x = 4 + 84

Simplify.

-8x = 88

Divide both sides by -8.

x = -11

Now, plug our value of x into our first equation in order to find y.

-2x + y = 14

-2(-11) + y = 14

22 + y = 14

y = -8

Therefore, the systems of equation variables are : (-11, -8)

~Hope this helped! :)