Solve y=2/7x-2

$$y = \frac{ 2 }{ 7 } x-2$$

Solve for x

$$x=\frac{7\left(y+2\right)}{2}$$

Steps for Solving Linear Equation

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

$$\frac{2}{7}x-2=y$$

Add 2 to both sides.

$$\frac{2}{7}x=y+2$$

Divide both sides of the equation by \frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{7}x}{\frac{2}{7}}=\frac{y+2}{\frac{2}{7}}$$

Dividing by \frac{2}{7} undoes the multiplication by \frac{2}{7}.

$$x=\frac{y+2}{\frac{2}{7}}$$

Divide y+2 by \frac{2}{7} by multiplying y+2 by the reciprocal of \frac{2}{7}.

$$x=\frac{7y}{2}+7$$

Solve for y

$$y=\frac{2\left(x-7\right)}{7}$$