Solve x=-2y+42/16

$$x = \frac { - 2 y + 42 } { 16 }$$

Solve for y

$$y=21-8x$$

Steps for Solving Linear Equation

Divide each term of -2y+42 by 16 to get -\frac{1}{8}y+\frac{21}{8}.

$$x=-\frac{1}{8}y+\frac{21}{8}$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{8}y+\frac{21}{8}=x$$

Subtract \frac{21}{8} from both sides.

$$-\frac{1}{8}y=x-\frac{21}{8}$$

Multiply both sides by -8.

$$\frac{-\frac{1}{8}y}{-\frac{1}{8}}=\frac{x-\frac{21}{8}}{-\frac{1}{8}}$$

Dividing by -\frac{1}{8} undoes the multiplication by -\frac{1}{8}.

$$y=\frac{x-\frac{21}{8}}{-\frac{1}{8}}$$

Divide x-\frac{21}{8} by -\frac{1}{8} by multiplying x-\frac{21}{8} by the reciprocal of -\frac{1}{8}.

$$y=21-8x$$

Solve for x

$$x=\frac{21-y}{8}$$

Solution Steps

Divide each term of -2y+42 by 16 to get -\frac{1}{8}y+\frac{21}{8}.

$$x=-\frac{1}{8}y+\frac{21}{8}$$