Question

Solve the equation for y. 6y+x=8

Answer 1

Answer:

The correct answer is $\bold{y = -\frac{1}{6}x+\frac{4}{3}}$.

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.

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

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

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

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

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

$\frac{6y}{6}=\frac{-1x}{6} + \frac{8}{6} \ \tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.$

$y = -\frac{1}{6}x+\frac{4}{3} \ \tex Be sure to verify that all fractions and terms are simplified as far as they can be and that the equation is written in proper syntax.$

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