Solve y=7/2x-7

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Add 7 to both sides.

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

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

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

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

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

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

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

Solve for y

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