Solve y=7/8x+52

$$y = \frac { 7 } { 8 } x + 52$$

Solve for x

$$x=\frac{8\left(y-52\right)}{7}$$

Steps for Solving Linear Equation

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

$$\frac{7}{8}x+52=y$$

Subtract 52 from both sides.

$$\frac{7}{8}x=y-52$$

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

$$\frac{\frac{7}{8}x}{\frac{7}{8}}=\frac{y-52}{\frac{7}{8}}$$

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

$$x=\frac{y-52}{\frac{7}{8}}$$

Divide y-52 by \frac{7}{8} by multiplying y-52 by the reciprocal of \frac{7}{8}.

$$x=\frac{8y-416}{7}$$

Solve for y

$$y=\frac{7x}{8}+52$$