Solve y=4/7x-8

$$y = \frac { 4 } { 7 } x - 8$$

Solve for x

$$x=\frac{7\left(y+8\right)}{4}$$

Steps for Solving Linear Equation

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

$$\frac{4}{7}x-8=y$$

Add 8 to both sides.

$$\frac{4}{7}x=y+8$$

Divide both sides of the equation by \frac{4}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{7}x}{\frac{4}{7}}=\frac{y+8}{\frac{4}{7}}$$

Dividing by \frac{4}{7} undoes the multiplication by \frac{4}{7}.

$$x=\frac{y+8}{\frac{4}{7}}$$

Divide y+8 by \frac{4}{7} by multiplying y+8 by the reciprocal of \frac{4}{7}.

$$x=\frac{7y}{4}+14$$

Solve for y

$$y=\frac{4\left(x-14\right)}{7}$$