Solve the following system of equations. Label the solution 4x-2y=8 y=1/2x+2

(4,4)

Step-by-step explanation:

4x-2y=8

y=1/2x+2

Since the second equation is solved for y, I will use substitution

4x - 2 (1/2x + 2) = 8

Distribute

4x - x - 4 = 8

Combine like terms

3x - 4 = 8

Add 4 to each side

3x-4+4 = 8+4

3x = 12

Divide each side by 3

3x/3 = 12/3

x = 4

Now we need to find y

y=1/2x+2

y = 1/2 (4) + 2

y = 2+2

y = 4

The solution is (4,4)