Respuesta :

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]

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