Pre-Algebra Examples

$2 = \frac{b}{a - c}$

Step 1

Rewrite the equation as $\frac{b}{a - c} = 2$ .

$\frac{b}{a - c} = 2$

Step 2

Multiply both sides by $a - c$ .

$\frac{b}{a - c} (a - c) = 2 (a - c)$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $a - c$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{b}{a - c} (a - c) = 2 (a - c)$

Step 3.1.1.2

Rewrite the expression.

$b = 2 (a - c)$

$b = 2 (a - c)$

$b = 2 (a - c)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $2 (a - c)$ .

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Step 3.2.1.1

Apply the distributive property.

$b = 2 a + 2 (- c)$

Step 3.2.1.2

Multiply $- 1$ by $2$ .

$b = 2 a - 2 c$

$b = 2 a - 2 c$

$b = 2 a - 2 c$

$b = 2 a - 2 c$

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