Answer:
[tex]\boxed {y = \frac{x}{2} + 2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]y[/tex]:
[tex]-2x + 4y = 8[/tex]
-Add both sides by [tex]2x[/tex]:
[tex]-2x + 2x + 4y = 8 + 2x[/tex]
[tex]4y = 2x + 8[/tex]
-Divide the whole equation by [tex]4[/tex]:
[tex]\frac{4y = 2x + 8}{4}[/tex]
[tex]\boxed {y = \frac{x}{2} + 2}[/tex]
Therefore, the final answer is [tex]y = \frac{x}{2}x + 2[/tex].
