Solve y-10.000/30.000-10.000=x-2/3-2

$$\frac { y - 10.000 } { 30.000 - 10.000 } = \frac { x - 2 } { 3 - 2 }$$

Solve for x

$$x=\frac{y+30}{20}$$

Solution Steps

Subtract 10 from 30 to get 20.

$$\frac{y-10}{20}=\frac{x-2}{3-2}$$

Subtract 2 from 3 to get 1.

$$\frac{y-10}{20}=\frac{x-2}{1}$$

Anything divided by one gives itself.

$$\frac{y-10}{20}=x-2$$

Divide each term of y-10 by 20 to get \frac{1}{20}y-\frac{1}{2}.

$$\frac{1}{20}y-\frac{1}{2}=x-2$$

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

$$x-2=\frac{1}{20}y-\frac{1}{2}$$

Add 2 to both sides.

$$x=\frac{1}{20}y-\frac{1}{2}+2$$

Add -\frac{1}{2} and 2 to get \frac{3}{2}.

$$x=\frac{1}{20}y+\frac{3}{2}$$

Solve for y

$$y=20x-30$$

Steps for Solving Linear Equation

Subtract 10 from 30 to get 20.

$$\frac{y-10}{20}=\frac{x-2}{3-2}$$

Subtract 2 from 3 to get 1.

$$\frac{y-10}{20}=\frac{x-2}{1}$$

Anything divided by one gives itself.

$$\frac{y-10}{20}=x-2$$

Divide each term of y-10 by 20 to get \frac{1}{20}y-\frac{1}{2}.

$$\frac{1}{20}y-\frac{1}{2}=x-2$$

Add \frac{1}{2} to both sides.

$$\frac{1}{20}y=x-2+\frac{1}{2}$$

Add -2 and \frac{1}{2} to get -\frac{3}{2}.

$$\frac{1}{20}y=x-\frac{3}{2}$$

Multiply both sides by 20.

$$\frac{\frac{1}{20}y}{\frac{1}{20}}=\frac{x-\frac{3}{2}}{\frac{1}{20}}$$

Dividing by \frac{1}{20} undoes the multiplication by \frac{1}{20}.

$$y=\frac{x-\frac{3}{2}}{\frac{1}{20}}$$

Divide x-\frac{3}{2} by \frac{1}{20} by multiplying x-\frac{3}{2} by the reciprocal of \frac{1}{20}.

$$y=20x-30$$