Solve for b ax+by=c

$a x + b y = c$

Step 1

Subtract $a x$ from both sides of the equation.

$b y = c - a x$

Step 2

Divide each term in $b y = c - a x$ by $y$ and simplify.

Divide each term in $b y = c - a x$ by $y$ .

$\frac{b y}{y} = \frac{c}{y} + \frac{- a x}{y}$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{b y}{y} = \frac{c}{y} + \frac{- a x}{y}$

Divide $b$ by $1$ .

$b = \frac{c}{y} + \frac{- a x}{y}$

Simplify the right side.

Move the negative in front of the fraction.

$b = \frac{c}{y} - \frac{a x}{y}$