Solve y+4=-3/2(x-2)

$$y + 4 = - \frac { 3 } { 2 } ( x - 2 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{3}{2} by x-2.

$$y+4=-\frac{3}{2}x+3$$

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

$$-\frac{3}{2}x+3=y+4$$

Subtract 3 from both sides.

$$-\frac{3}{2}x=y+4-3$$

Subtract 3 from 4 to get 1.

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

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

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

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

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

Divide y+1 by -\frac{3}{2} by multiplying y+1 by the reciprocal of -\frac{3}{2}.

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

Solve for y

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

Solution Steps

Use the distributive property to multiply -\frac{3}{2} by x-2.

$$y+4=-\frac{3}{2}x+3$$

Subtract 4 from both sides.

$$y=-\frac{3}{2}x+3-4$$

Subtract 4 from 3 to get -1.

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