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.

$B = \frac{C}{y} - \frac{A x}{y}$