Solve y=-5/2x+17/2

$$y = - \frac { 5 } { 2 } x + \frac { 17 } { 2 }$$

Solve for x

$$x=\frac{17-2y}{5}$$

Steps for Solving Linear Equation

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

$$-\frac{5}{2}x+\frac{17}{2}=y$$

Subtract \frac{17}{2} from both sides.

$$-\frac{5}{2}x=y-\frac{17}{2}$$

Divide both sides of the equation by -\frac{5}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{2}x}{-\frac{5}{2}}=\frac{y-\frac{17}{2}}{-\frac{5}{2}}$$

Dividing by -\frac{5}{2} undoes the multiplication by -\frac{5}{2}.

$$x=\frac{y-\frac{17}{2}}{-\frac{5}{2}}$$

Divide y-\frac{17}{2} by -\frac{5}{2} by multiplying y-\frac{17}{2} by the reciprocal of -\frac{5}{2}.

$$x=\frac{17-2y}{5}$$

Solve for y

$$y=\frac{17-5x}{2}$$