Solve y-11=8/5(x-5)

$$y - 11 = \frac { 8 } { 5 } ( x - 5 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{8}{5} by x-5.

$$y-11=\frac{8}{5}x-8$$

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

$$\frac{8}{5}x-8=y-11$$

Add 8 to both sides.

$$\frac{8}{5}x=y-11+8$$

Add -11 and 8 to get -3.

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

Divide both sides of the equation by \frac{8}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{8}{5} undoes the multiplication by \frac{8}{5}.

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

Divide y-3 by \frac{8}{5} by multiplying y-3 by the reciprocal of \frac{8}{5}.

$$x=\frac{5y-15}{8}$$

Solve for y

$$y=\frac{8x}{5}+3$$

Solution Steps

Use the distributive property to multiply \frac{8}{5} by x-5.

$$y-11=\frac{8}{5}x-8$$

Add 11 to both sides.

$$y=\frac{8}{5}x-8+11$$

Add -8 and 11 to get 3.

$$y=\frac{8}{5}x+3$$