Solve y=6/13x-5

$$y = \frac { 6 } { 13 } x - 5$$

Solve for x

$$x=\frac{13\left(y+5\right)}{6}$$

Steps for Solving Linear Equation

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

$$\frac{6}{13}x-5=y$$

Add 5 to both sides.

$$\frac{6}{13}x=y+5$$

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

$$\frac{\frac{6}{13}x}{\frac{6}{13}}=\frac{y+5}{\frac{6}{13}}$$

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

$$x=\frac{y+5}{\frac{6}{13}}$$

Divide y+5 by \frac{6}{13} by multiplying y+5 by the reciprocal of \frac{6}{13}.

$$x=\frac{13y+65}{6}$$

Solve for y

$$y=\frac{6x}{13}-5$$