Solve y=6/13x+13

$$y = \frac { 6 } { 13 } x + 13$$

Solve for x

$$x=\frac{13\left(y-13\right)}{6}$$

Steps for Solving Linear Equation

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

$$\frac{6}{13}x+13=y$$

Subtract 13 from both sides.

$$\frac{6}{13}x=y-13$$

Divide both sides of the equation by \frac{6}{13}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{6}{13}x}{\frac{6}{13}}=\frac{y-13}{\frac{6}{13}}$$

Dividing by \frac{6}{13} undoes the multiplication by \frac{6}{13}.

$$x=\frac{y-13}{\frac{6}{13}}$$

Divide y-13 by \frac{6}{13} by multiplying y-13 by the reciprocal of \frac{6}{13}.

$$x=\frac{13y-169}{6}$$

Solve for y

$$y=\frac{6x}{13}+13$$