Solve y=a(0)+b/(0)+c

$$y = \frac { a ( 0 ) + b } { ( 0 ) + c }$$

Solve for b

$$b=cy$$

$$c\neq 0$$

Solution Steps

Multiply both sides of the equation by c.

$$yc=a\times 0+b$$

Anything times zero gives zero.

$$yc=0+b$$

Anything plus zero gives itself.

$$yc=b$$

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

$$b=yc$$

Solve for a (complex solution)

$$a\in \mathrm{C}$$

$$y=\frac{b}{c}\text{ and }c\neq 0$$

Solve for a

$$a\in \mathrm{R}$$

$$y=\frac{b}{c}\text{ and }c\neq 0$$