Solve y=0.2%*1000x+1000

$$y = 0.2 \% \times 1000 x + 1000$$

Solve for x

$$x=\frac{y-1000}{2}$$

Steps for Solving Linear Equation

Expand \frac{0.2}{100} by multiplying both numerator and the denominator by 10.

$$y=\frac{2}{1000}\times 1000x+1000$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$y=\frac{1}{500}\times 1000x+1000$$

Multiply \frac{1}{500} and 1000 to get 2.

$$y=2x+1000$$

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

$$2x+1000=y$$

Subtract 1000 from both sides.

$$2x=y-1000$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{y-1000}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{y-1000}{2}$$

Divide y-1000 by 2.

$$x=\frac{y}{2}-500$$

Solve for y

$$y=2\left(x+500\right)$$

Solution Steps

Expand \frac{0.2}{100} by multiplying both numerator and the denominator by 10.

$$y=\frac{2}{1000}\times 1000x+1000$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$y=\frac{1}{500}\times 1000x+1000$$

Multiply \frac{1}{500} and 1000 to get 2.

$$y=2x+1000$$