Solve 1/8(x-5)=75y_{0}

$$\frac { 1 } { 8 } ( x - 5 ) = 75 y _ { 0 }$$

Solve for x

$$x=600y_{0}+5$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{8} by x-5.

$$\frac{1}{8}x-\frac{5}{8}=75y_{0}$$

Add \frac{5}{8} to both sides.

$$\frac{1}{8}x=75y_{0}+\frac{5}{8}$$

Multiply both sides by 8.

$$\frac{\frac{1}{8}x}{\frac{1}{8}}=\frac{75y_{0}+\frac{5}{8}}{\frac{1}{8}}$$

Dividing by \frac{1}{8} undoes the multiplication by \frac{1}{8}.

$$x=\frac{75y_{0}+\frac{5}{8}}{\frac{1}{8}}$$

Divide 75y_{0}+\frac{5}{8} by \frac{1}{8} by multiplying 75y_{0}+\frac{5}{8} by the reciprocal of \frac{1}{8}.

$$x=600y_{0}+5$$

Solve for y_0

$$y_{0}=\frac{x-5}{600}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{8} by x-5.

$$\frac{1}{8}x-\frac{5}{8}=75y_{0}$$

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

$$75y_{0}=\frac{1}{8}x-\frac{5}{8}$$

The equation is in standard form.

$$75y_{0}=\frac{x-5}{8}$$

Divide both sides by 75.

$$\frac{75y_{0}}{75}=\frac{x-5}{8\times 75}$$

Dividing by 75 undoes the multiplication by 75.

$$y_{0}=\frac{x-5}{8\times 75}$$

Divide \frac{-5+x}{8} by 75.

$$y_{0}=\frac{x}{600}-\frac{1}{120}$$