Solve x=2+3y/5

$$x = \frac { 2 + 3 y } { 5 }$$

Solve for y

$$y=\frac{5x-2}{3}$$

Steps for Solving Linear Equation

Divide each term of 2+3y by 5 to get \frac{2}{5}+\frac{3}{5}y.

$$x=\frac{2}{5}+\frac{3}{5}y$$

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

$$\frac{2}{5}+\frac{3}{5}y=x$$

Subtract \frac{2}{5} from both sides.

$$\frac{3}{5}y=x-\frac{2}{5}$$

Divide both sides of the equation by \frac{3}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{5}y}{\frac{3}{5}}=\frac{x-\frac{2}{5}}{\frac{3}{5}}$$

Dividing by \frac{3}{5} undoes the multiplication by \frac{3}{5}.

$$y=\frac{x-\frac{2}{5}}{\frac{3}{5}}$$

Divide x-\frac{2}{5} by \frac{3}{5} by multiplying x-\frac{2}{5} by the reciprocal of \frac{3}{5}.

$$y=\frac{5x-2}{3}$$

Solve for x

$$x=\frac{3y+2}{5}$$

Solution Steps

Divide each term of 2+3y by 5 to get \frac{2}{5}+\frac{3}{5}y.

$$x=\frac{2}{5}+\frac{3}{5}y$$