Solve y+3=-3/2(x+7)

$$y + 3 = - \frac { 3 } { 2 } ( x + 7 )$$

Solve for x

$$x=-\frac{2y}{3}-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{3}{2} by x+7.

$$y+3=-\frac{3}{2}x-\frac{21}{2}$$

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

$$-\frac{3}{2}x-\frac{21}{2}=y+3$$

Add \frac{21}{2} to both sides.

$$-\frac{3}{2}x=y+3+\frac{21}{2}$$

Add 3 and \frac{21}{2} to get \frac{27}{2}.

$$-\frac{3}{2}x=y+\frac{27}{2}$$

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

$$\frac{-\frac{3}{2}x}{-\frac{3}{2}}=\frac{y+\frac{27}{2}}{-\frac{3}{2}}$$

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

$$x=\frac{y+\frac{27}{2}}{-\frac{3}{2}}$$

Divide y+\frac{27}{2} by -\frac{3}{2} by multiplying y+\frac{27}{2} by the reciprocal of -\frac{3}{2}.

$$x=-\frac{2y}{3}-9$$

Solve for y

$$y=\frac{-3x-27}{2}$$

Solution Steps

Use the distributive property to multiply -\frac{3}{2} by x+7.

$$y+3=-\frac{3}{2}x-\frac{21}{2}$$

Subtract 3 from both sides.

$$y=-\frac{3}{2}x-\frac{21}{2}-3$$

Subtract 3 from -\frac{21}{2} to get -\frac{27}{2}.

$$y=-\frac{3}{2}x-\frac{27}{2}$$