Algebra Examples

$y = \frac{x}{2} + 3$

Step 1

Rewrite the equation as $\frac{x}{2} + 3 = y$ .

$\frac{x}{2} + 3 = y$

Step 2

Subtract $3$ from both sides of the equation.

$\frac{x}{2} = y - 3$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 (y - 3)$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $2$ .

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Step 4.1.1.1

Cancel the common factor.

$2 \frac{x}{2} = 2 (y - 3)$

Step 4.1.1.2

Rewrite the expression.

$x = 2 (y - 3)$

$x = 2 (y - 3)$

$x = 2 (y - 3)$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $2 (y - 3)$ .

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Step 4.2.1.1

Apply the distributive property.

$x = 2 y + 2 \cdot - 3$

Step 4.2.1.2

Multiply $2$ by $- 3$ .

$x = 2 y - 6$

$x = 2 y - 6$

$x = 2 y - 6$

$x = 2 y - 6$

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