Answer:
The correct answer is [tex]\bold{y = -\frac{1}{6}x+\frac{4}{3}}[/tex].
Step-by-step explanation:
We want to solve for y in the given equation. We can do this by rearranging the equation and using operational techniques to simplify.
[tex]6y + x = 8 \ $\tex Subtract x from both sides of the equation.[/tex]
[tex]6y + x - x = 8 - x \ $\tex Carry out the operation.[/tex]
[tex]6y = 8 - x \ $\tex Rearrange so the equation lists the variables first and the constants second.[/tex]
[tex]6y = -x + 8 \ $\tex Create a coefficient for the x-variable (this is -1).[/tex]
[tex]6y = -1x + 8 \ $\tex Divide by 6 on both sides of the equation in order to isolate the y-variable.[/tex]
[tex]\frac{6y}{6}=\frac{-1x}{6} + \frac{8}{6} \ $\tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.[/tex]
[tex]y = -\frac{1}{6}x+\frac{4}{3} \ $\tex Be sure to verify that all fractions and terms are simplified as far as they can be and that the equation is written in proper syntax.[/tex]
Because we have the y-variable isolated from the rest of the equation, we are done!
