Solve y=-1/2x-x+3/2

$$y = - \frac { 1 } { 2 } x - x + \frac { 3 } { 2 }$$

Solve for x

$$x=-\frac{2y}{3}+1$$

Steps for Solving Linear Equation

Combine -\frac{1}{2}x and -x to get -\frac{3}{2}x.

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

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

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

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

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

Divide both sides of the equation by -\frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by -\frac{3}{2} undoes the multiplication by -\frac{3}{2}.

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

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

$$x=-\frac{2y}{3}+1$$

Solve for y

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

Solution Steps

Combine -\frac{1}{2}x and -x to get -\frac{3}{2}x.

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