Respuesta :

The value of x when y = 2 is x = 36

Step-by-step explanation:

The equation that we have in this problem is:

[tex]y=\frac{x}{4}-7[/tex]

In order to find the value of x when y is equal to

y = 2

We need to re-arrange the equation making x the subject.

We proceed as follows:

1) We add +7 on both sides:

[tex]y+7=\frac{x}{4}-7+7\\y+7=\frac{x}{4}[/tex]

2) Now we multiply both  sides by 4:

[tex]4(y+7)=\frac{x}{4}\cdot 4\\x=4(y+7)[/tex]

3) Now we can substitute y = 2 and find the value of x:

[tex]x=4(2+7)=4(9)=36[/tex]

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