Solve y=-7/2x+15/2

$$y = - \frac { 7 } { 2 } x + \frac { 15 } { 2 }$$

Solve for x

$$x=\frac{15-2y}{7}$$

Steps for Solving Linear Equation

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

$$-\frac{7}{2}x+\frac{15}{2}=y$$

Subtract \frac{15}{2} from both sides.

$$-\frac{7}{2}x=y-\frac{15}{2}$$

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

$$\frac{-\frac{7}{2}x}{-\frac{7}{2}}=\frac{y-\frac{15}{2}}{-\frac{7}{2}}$$

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

$$x=\frac{y-\frac{15}{2}}{-\frac{7}{2}}$$

Divide y-\frac{15}{2} by -\frac{7}{2} by multiplying y-\frac{15}{2} by the reciprocal of -\frac{7}{2}.

$$x=\frac{15-2y}{7}$$

Solve for y

$$y=\frac{15-7x}{2}$$