Solve y=-5/2x+3/2

$$y = \frac { - 5 } { 2 } x + \frac { 3 } { 2 }$$

Solve for x

$$x=\frac{3-2y}{5}$$

Steps for Solving Linear Equation

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$y=-\frac{5}{2}x+\frac{3}{2}$$

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

$$-\frac{5}{2}x+\frac{3}{2}=y$$

Subtract \frac{3}{2} from both sides.

$$-\frac{5}{2}x=y-\frac{3}{2}$$

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

$$\frac{-\frac{5}{2}x}{-\frac{5}{2}}=\frac{y-\frac{3}{2}}{-\frac{5}{2}}$$

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

$$x=\frac{y-\frac{3}{2}}{-\frac{5}{2}}$$

Divide y-\frac{3}{2} by -\frac{5}{2} by multiplying y-\frac{3}{2} by the reciprocal of -\frac{5}{2}.

$$x=\frac{3-2y}{5}$$

Solve for y

$$y=\frac{3-5x}{2}$$

Solution Steps

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$y=-\frac{5}{2}x+\frac{3}{2}$$