Solve y/x=ax-b/x

$$\frac{ y }{ x } = ax- \frac{ b }{ x }$$

Solve for a

$$a=\frac{y+b}{x^{2}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$y=axx-b$$

Multiply x and x to get x^{2}.

$$y=ax^{2}-b$$

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

$$ax^{2}-b=y$$

Add b to both sides.

$$ax^{2}=y+b$$

The equation is in standard form.

$$x^{2}a=y+b$$

Divide both sides by x^{2}.

$$\frac{x^{2}a}{x^{2}}=\frac{y+b}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$a=\frac{y+b}{x^{2}}$$

Solve for b

$$b=ax^{2}-y$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$y=axx-b$$

Multiply x and x to get x^{2}.

$$y=ax^{2}-b$$

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

$$ax^{2}-b=y$$

Subtract ax^{2} from both sides.

$$-b=y-ax^{2}$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{y-ax^{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{y-ax^{2}}{-1}$$

Divide y-ax^{2} by -1.

$$b=ax^{2}-y$$