Algebra Examples

$y = \frac{x - v}{b}$

Step 1

Rewrite the equation as $\frac{x - v}{b} = y$ .

$\frac{x - v}{b} = y$

Step 2

Multiply both sides by $b$ .

$\frac{x - v}{b} b = y b$

Step 3

Simplify the left side.

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Step 3.1

Simplify $\frac{x - v}{b} b$ .

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Step 3.1.1

Cancel the common factor of $b$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{x - v}{b} b = y b$

Step 3.1.1.2

Rewrite the expression.

$x - v = y b$

$x - v = y b$

Step 3.1.2

Reorder $x$ and $- v$ .

$- v + x = y b$

$- v + x = y b$

$- v + x = y b$

Step 4

Add $v$ to both sides of the equation.

$x = y b + v$

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