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

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

Solve for x

$$x=\frac{8y+1}{5}$$

Steps for Solving Linear Equation

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

$$y=3+\frac{5}{8}x-\frac{25}{8}$$

Subtract \frac{25}{8} from 3 to get -\frac{1}{8}.

$$y=-\frac{1}{8}+\frac{5}{8}x$$

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

$$-\frac{1}{8}+\frac{5}{8}x=y$$

Add \frac{1}{8} to both sides.

$$\frac{5}{8}x=y+\frac{1}{8}$$

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

$$\frac{\frac{5}{8}x}{\frac{5}{8}}=\frac{y+\frac{1}{8}}{\frac{5}{8}}$$

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

$$x=\frac{y+\frac{1}{8}}{\frac{5}{8}}$$

Divide y+\frac{1}{8} by \frac{5}{8} by multiplying y+\frac{1}{8} by the reciprocal of \frac{5}{8}.

$$x=\frac{8y+1}{5}$$

Solve for y

$$y=\frac{5x-1}{8}$$

Solution Steps

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

$$y=3+\frac{5}{8}x-\frac{25}{8}$$

Subtract \frac{25}{8} from 3 to get -\frac{1}{8}.

$$y=-\frac{1}{8}+\frac{5}{8}x$$