PLEASE HELP!!!,

The solution to the system is: (3, 2)

Step-by-step explanation:

We are given:

y = -2x + 8

and

4x - 2y = 8

We are given the "y" in this equation.

So when solving these questions, it is better to use the substitution method when solving

So we substitute "y = -2x + 8" with "y" in the equation "4x - 2y = 8

So, the equation would look like this: 4x - 2(-2x + 8) = 8

And we are solving for "x" in the equation

4x − 2(−2x + 8) = 8  (Distribute)

−2(−2x+8)  (Simplify)

4x + 4x − 16 = 8  (Combine Like Terms)

(4x + 4x) − 16 = 8  (Simplify)

8x − 16 = 8  (Add 16 to both sides)

8x - 16 + 16 = 8 + 16  (Simplify)

8x = 24  (Divide both sides by 8)

8x/8 = 24 (Simplify)

x = 3

Now that we know the "x", in this equation, we can solve for the "y"

We just substitute the "x" into the equation "y = -2x + 8"

The equation looks like this: y = -2(3) + 8

y = -2(3) + 8

Multiply −2 and 3 to get −6

y = -6 + 8

Add −6 and 8 to get 2

y = 2

(x, y) = (3, 2)

The solution to the system is: (3, 2)