Solve y=6/5x+5

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Subtract 5 from both sides.

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

Divide both sides of the equation by \frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{6}{5} undoes the multiplication by \frac{6}{5}.

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

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

$$x=\frac{5y-25}{6}$$

Solve for y

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