Solve y-8=4/3(x-(-5))

$$y - 8 = \frac { 4 } { 3 } ( x - ( - 5 ) )$$

Solve for x

$$x=\frac{3y}{4}-11$$

Steps for Solving Linear Equation

The opposite of -5 is 5.

$$y-8=\frac{4}{3}\left(x+5\right)$$

Use the distributive property to multiply \frac{4}{3} by x+5.

$$y-8=\frac{4}{3}x+\frac{20}{3}$$

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

$$\frac{4}{3}x+\frac{20}{3}=y-8$$

Subtract \frac{20}{3} from both sides.

$$\frac{4}{3}x=y-8-\frac{20}{3}$$

Subtract \frac{20}{3} from -8 to get -\frac{44}{3}.

$$\frac{4}{3}x=y-\frac{44}{3}$$

Divide both sides of the equation by \frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{3}x}{\frac{4}{3}}=\frac{y-\frac{44}{3}}{\frac{4}{3}}$$

Dividing by \frac{4}{3} undoes the multiplication by \frac{4}{3}.

$$x=\frac{y-\frac{44}{3}}{\frac{4}{3}}$$

Divide y-\frac{44}{3} by \frac{4}{3} by multiplying y-\frac{44}{3} by the reciprocal of \frac{4}{3}.

$$x=\frac{3y}{4}-11$$

Solve for y

$$y=\frac{4\left(x+11\right)}{3}$$

Solution Steps

The opposite of -5 is 5.

$$y-8=\frac{4}{3}\left(x+5\right)$$

Use the distributive property to multiply \frac{4}{3} by x+5.

$$y-8=\frac{4}{3}x+\frac{20}{3}$$

Add 8 to both sides.

$$y=\frac{4}{3}x+\frac{20}{3}+8$$

Add \frac{20}{3} and 8 to get \frac{44}{3}.

$$y=\frac{4}{3}x+\frac{44}{3}$$