Answer:
[tex]x=20[/tex]
Step-by-step explanation:
we have
[tex]y=\frac{1}{2}x-2[/tex]
This is a linear equation (equation of a line)
To determine the value of x when the value of y=8, substitute the value of y in the equation and solve for x
so
For y=8
substitute
[tex]8=\frac{1}{2}x-2[/tex]
isolate the variable x
Adds 2 both sides
[tex]8+2=\frac{1}{2}x-2+2[/tex]
[tex]10=\frac{1}{2}x[/tex]
Multiply by 2 both sides
[tex]10*2=(2)\frac{1}{2}x[/tex]
Rewrite
[tex]x=20[/tex]
