Home > AC > Chapter 7 > Lesson 7.1.5 > Problem7-51

7-51.

Solve the equations below for the indicated variable.

1. $6x-3y=12$ for $y$

Solve for the variable by isolating it on one side.

$-3y=12-6x$

Now divide both sides by $-3$.

1. $y=-2x+4$ for $x$

Follow the steps outlined in part (a).

1. $4-2\left(3x+2\right)=4x-10$ for $x$

First distribute to remove the parenthesis, then combine like terms. To finish, follow steps in part (a).

$x = 1$

1. $\frac{3-x}{4}=\frac{5}{2}$ for $x$

Multiply by a common denominator to remove the fractions. Then follow the steps in part (a).