Question

Solve the equation for y.

6y+x=8

Answer 1

The correct answer is
`\bold{y = -(1)/(6)x+(4)/(3)}`.

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.

`6y + x = 8 \ $\tex Subtract x from both sides of the equation.`

`6y + x - x = 8 - x \ $\tex Carry out the operation.`

`6y = 8 - x \ $\tex Rearrange so the equation lists the variables first and the constants second.`

`6y = -x + 8 \ $\tex Create a coefficient for the x-variable (this is -1).`

`6y = -1x + 8 \ $\tex Divide by 6 on both sides of the equation in order to isolate the y-variable.`

`(6y)/(6)=(-1x)/(6) + (8)/(6) \ $\tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.`

`y = -(1)/(6)x+(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.`

Because we have the y-variable isolated from the rest of the equation, we are done!