Solve left(x-285-x0.05right)0.2=y

$$\left( x-285-x0.05 \right) 0.2=y$$

Solve for x

$$x=\frac{x_{0}}{20}+5y+285$$

Steps for Solving Linear Equation

Multiply -1 and 0.05 to get -0.05.

$$\left(x-285-0.05x_{0}\right)\times 0.2=y$$

Use the distributive property to multiply x-285-0.05x_{0} by 0.2.

$$0.2x-57-0.01x_{0}=y$$

Add 57 to both sides.

$$0.2x-0.01x_{0}=y+57$$

Add 0.01x_{0} to both sides.

$$0.2x=y+57+0.01x_{0}$$

The equation is in standard form.

$$0.2x=\frac{x_{0}}{100}+y+57$$

Multiply both sides by 5.

$$\frac{0.2x}{0.2}=\frac{\frac{x_{0}}{100}+y+57}{0.2}$$

Dividing by 0.2 undoes the multiplication by 0.2.

$$x=\frac{\frac{x_{0}}{100}+y+57}{0.2}$$

Divide y+57+\frac{x_{0}}{100} by 0.2 by multiplying y+57+\frac{x_{0}}{100} by the reciprocal of 0.2.

$$x=\frac{x_{0}}{20}+5y+285$$

Solve for x_0

$$x_{0}=20\left(x-5y-285\right)$$

Steps for Solving Linear Equation

Multiply -1 and 0.05 to get -0.05.

$$\left(x-285-0.05x_{0}\right)\times 0.2=y$$

Use the distributive property to multiply x-285-0.05x_{0} by 0.2.

$$0.2x-57-0.01x_{0}=y$$

Subtract 0.2x from both sides.

$$-57-0.01x_{0}=y-0.2x$$

Add 57 to both sides.

$$-0.01x_{0}=y-0.2x+57$$

The equation is in standard form.

$$-0.01x_{0}=-\frac{x}{5}+y+57$$

Multiply both sides by -100.

$$\frac{-0.01x_{0}}{-0.01}=\frac{-\frac{x}{5}+y+57}{-0.01}$$

Dividing by -0.01 undoes the multiplication by -0.01.

$$x_{0}=\frac{-\frac{x}{5}+y+57}{-0.01}$$

Divide y-\frac{x}{5}+57 by -0.01 by multiplying y-\frac{x}{5}+57 by the reciprocal of -0.01.

$$x_{0}=20x-100y-5700$$