Solve y=ax-c/b

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

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{by+c}{x}\text{, }&x\neq 0\text{ and }b\neq 0\\a\in \mathrm{C}\text{, }&c=-by\text{ and }x=0\text{ and }b\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$yb=ax-c$$

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

$$ax-c=yb$$

Add c to both sides.

$$ax=yb+c$$

The equation is in standard form.

$$xa=by+c$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{by+c}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{by+c}{x}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{by+c}{x}\text{, }&x\neq 0\text{ and }b\neq 0\\a\in \mathrm{R}\text{, }&c=-by\text{ and }x=0\text{ and }b\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$yb=ax-c$$

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

$$ax-c=yb$$

Add c to both sides.

$$ax=yb+c$$

The equation is in standard form.

$$xa=by+c$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{by+c}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{by+c}{x}$$

Solve for b

$$\left\{\begin{matrix}b=-\frac{c-ax}{y}\text{, }&c\neq ax\text{ and }y\neq 0\\b\neq 0\text{, }&y=0\text{ and }c=ax\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$yb=ax-c$$

Divide both sides by y.

$$\frac{yb}{y}=\frac{ax-c}{y}$$

Dividing by y undoes the multiplication by y.

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

Variable b cannot be equal to 0.

$$b=\frac{ax-c}{y}\text{, }b\neq 0$$