Solve 4x+5/3=y

$$\frac { 4 x + 5 } { 3 } = y$$

Solve for x

$$x=\frac{3y-5}{4}$$

Steps for Solving Linear Equation

Divide each term of 4x+5 by 3 to get \frac{4}{3}x+\frac{5}{3}.

$$\frac{4}{3}x+\frac{5}{3}=y$$

Subtract \frac{5}{3} from both sides.

$$\frac{4}{3}x=y-\frac{5}{3}$$

Divide both sides of the equation by \frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{3}x}{\frac{4}{3}}=\frac{y-\frac{5}{3}}{\frac{4}{3}}$$

Dividing by \frac{4}{3} undoes the multiplication by \frac{4}{3}.

$$x=\frac{y-\frac{5}{3}}{\frac{4}{3}}$$

Divide y-\frac{5}{3} by \frac{4}{3} by multiplying y-\frac{5}{3} by the reciprocal of \frac{4}{3}.

$$x=\frac{3y-5}{4}$$

Solve for y

$$y=\frac{4x+5}{3}$$

Solution Steps

Divide each term of 4x+5 by 3 to get \frac{4}{3}x+\frac{5}{3}.

$$\frac{4}{3}x+\frac{5}{3}=y$$

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

$$y=\frac{4}{3}x+\frac{5}{3}$$