Algebra Examples

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

Step 1

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

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

Step 2

Subtract $b$ from both sides of the equation.

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

Step 3

Multiply both sides by $a$ .

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

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $a$ .

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Step 4.1.1.1

Cancel the common factor.

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

Step 4.1.1.2

Rewrite the expression.

$x = (y - b) a$

$x = (y - b) a$

$x = (y - b) a$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $(y - b) a$ .

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Step 4.2.1.1

Apply the distributive property.

$x = y a - b a$

Step 4.2.1.2

Simplify the expression.

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Step 4.2.1.2.1

Reorder $y$ and $a$ .

$x = a y - b a$

Step 4.2.1.2.2

Move $b$ .

$x = a y - 1 a b$

Step 4.2.1.2.3

Reorder $a y$ and $- 1 a b$ .

$x = - 1 a b + a y$

$x = - 1 a b + a y$

$x = - 1 a b + a y$

$x = - 1 a b + a y$

$x = - 1 a b + a y$

Step 5

Rewrite $- 1 a$ as $- a$ .

$x = - a b + a y$

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