Solve y=1/3(2x-5)

$$y = \frac { 1 } { 3 } ( 2 x - 5 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by 2x-5.

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

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

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

Add \frac{5}{3} to both sides.

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

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.

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

Divide y+\frac{5}{3} by \frac{2}{3} by multiplying y+\frac{5}{3} by the reciprocal of \frac{2}{3}.

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

Solve for y

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

Solution Steps

Use the distributive property to multiply \frac{1}{3} by 2x-5.

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