Solve for x Ax+By=-c

$A x + B y = - c$

Step 1

Subtract $B y$ from both sides of the equation.

$A x = - c - B y$

Step 2

Divide each term in $A x = - c - B y$ by $A$ and simplify.

Divide each term in $A x = - c - B y$ by $A$ .

$\frac{A x}{A} = \frac{- c}{A} + \frac{- B y}{A}$

Simplify the left side.

Cancel the common factor of $A$ .

Cancel the common factor.

$\frac{A x}{A} = \frac{- c}{A} + \frac{- B y}{A}$

Divide $x$ by $1$ .

$x = \frac{- c}{A} + \frac{- B y}{A}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{c}{A} + \frac{- B y}{A}$

Move the negative in front of the fraction.

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