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

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

Solve for x

$$x=\frac{-2y-8}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{3}{2} by x+4.

$$y-2=-\frac{3}{2}x-6$$

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

$$-\frac{3}{2}x-6=y-2$$

Add 6 to both sides.

$$-\frac{3}{2}x=y-2+6$$

Add -2 and 6 to get 4.

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

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

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

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

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

Divide y+4 by -\frac{3}{2} by multiplying y+4 by the reciprocal of -\frac{3}{2}.

$$x=\frac{-2y-8}{3}$$

Solve for y

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

Solution Steps

Use the distributive property to multiply -\frac{3}{2} by x+4.

$$y-2=-\frac{3}{2}x-6$$

Add 2 to both sides.

$$y=-\frac{3}{2}x-6+2$$

Add -6 and 2 to get -4.

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