Evaluate Using the Given Value ax+by=cz

$a x + b y = c z$

Step 1

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

$a x = c z - b y$

Step 2

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

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

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

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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