Solve x=15-8y/7

$$x= \frac{ 15-8y }{ 7 }$$

Solve for y

$$y=\frac{15-7x}{8}$$

Steps for Solving Linear Equation

Divide each term of 15-8y by 7 to get \frac{15}{7}-\frac{8}{7}y.

$$x=\frac{15}{7}-\frac{8}{7}y$$

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

$$\frac{15}{7}-\frac{8}{7}y=x$$

Subtract \frac{15}{7} from both sides.

$$-\frac{8}{7}y=x-\frac{15}{7}$$

Divide both sides of the equation by -\frac{8}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{8}{7}y}{-\frac{8}{7}}=\frac{x-\frac{15}{7}}{-\frac{8}{7}}$$

Dividing by -\frac{8}{7} undoes the multiplication by -\frac{8}{7}.

$$y=\frac{x-\frac{15}{7}}{-\frac{8}{7}}$$

Divide x-\frac{15}{7} by -\frac{8}{7} by multiplying x-\frac{15}{7} by the reciprocal of -\frac{8}{7}.

$$y=\frac{15-7x}{8}$$

Solve for x

$$x=\frac{15-8y}{7}$$

Solution Steps

Divide each term of 15-8y by 7 to get \frac{15}{7}-\frac{8}{7}y.

$$x=\frac{15}{7}-\frac{8}{7}y$$