Solve y=10/3x+4/7

$$y = \frac { 10 } { 3 } x + \frac { 4 } { 7 }$$

Solve for x

$$x=\frac{3y}{10}-\frac{6}{35}$$

Steps for Solving Linear Equation

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

$$\frac{10}{3}x+\frac{4}{7}=y$$

Subtract \frac{4}{7} from both sides.

$$\frac{10}{3}x=y-\frac{4}{7}$$

Divide both sides of the equation by \frac{10}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{10}{3}x}{\frac{10}{3}}=\frac{y-\frac{4}{7}}{\frac{10}{3}}$$

Dividing by \frac{10}{3} undoes the multiplication by \frac{10}{3}.

$$x=\frac{y-\frac{4}{7}}{\frac{10}{3}}$$

Divide y-\frac{4}{7} by \frac{10}{3} by multiplying y-\frac{4}{7} by the reciprocal of \frac{10}{3}.

$$x=\frac{3y}{10}-\frac{6}{35}$$

Solve for y

$$y=\frac{10x}{3}+\frac{4}{7}$$