Solve y-2=-2/3(x+11)

$$y - 2 = - \frac { 2 } { 3 } ( x + 11 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{2}{3} by x+11.

$$y-2=-\frac{2}{3}x-\frac{22}{3}$$

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

$$-\frac{2}{3}x-\frac{22}{3}=y-2$$

Add \frac{22}{3} to both sides.

$$-\frac{2}{3}x=y-2+\frac{22}{3}$$

Add -2 and \frac{22}{3} to get \frac{16}{3}.

$$-\frac{2}{3}x=y+\frac{16}{3}$$

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

$$\frac{-\frac{2}{3}x}{-\frac{2}{3}}=\frac{y+\frac{16}{3}}{-\frac{2}{3}}$$

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

$$x=\frac{y+\frac{16}{3}}{-\frac{2}{3}}$$

Divide y+\frac{16}{3} by -\frac{2}{3} by multiplying y+\frac{16}{3} by the reciprocal of -\frac{2}{3}.

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

Solve for y

$$y=\frac{-2x-16}{3}$$

Solution Steps

Use the distributive property to multiply -\frac{2}{3} by x+11.

$$y-2=-\frac{2}{3}x-\frac{22}{3}$$

Add 2 to both sides.

$$y=-\frac{2}{3}x-\frac{22}{3}+2$$

Add -\frac{22}{3} and 2 to get -\frac{16}{3}.

$$y=-\frac{2}{3}x-\frac{16}{3}$$