Algebra Examples

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

Step 1

Rewrite the equation as $\frac{a x + b}{c} = y$ .

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

Step 2

Multiply both sides by $c$ .

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

Step 3

Simplify the left side.

Tap for more steps...

Step 3.1

Cancel the common factor of $c$ .

Tap for more steps...

Step 3.1.1

Cancel the common factor.

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

Step 3.1.2

Rewrite the expression.

$a x + b = y c$

$a x + b = y c$

$a x + b = y c$

Step 4

Solve for $a$ .

Tap for more steps...

Step 4.1

Subtract $b$ from both sides of the equation.

$a x = y c - b$

Step 4.2

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

Tap for more steps...

Step 4.2.1

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

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

Step 4.2.2

Simplify the left side.

Tap for more steps...

Step 4.2.2.1

Cancel the common factor of $x$ .

Tap for more steps...

Step 4.2.2.1.1

Cancel the common factor.

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

Step 4.2.2.1.2

Divide $a$ by $1$ .

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

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

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

Step 4.2.3

Simplify the right side.

Tap for more steps...

Step 4.2.3.1

Move the negative in front of the fraction.

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

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

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$