Precalculus Examples

$x = \frac{1}{2} t + 3$

Step 1

Rewrite the equation as $\frac{1}{2} t + 3 = x$ .

$\frac{1}{2} t + 3 = x$

Step 2

Combine $\frac{1}{2}$ and $t$ .

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

Step 3

Subtract $3$ from both sides of the equation.

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

Step 4

Multiply both sides of the equation by $2$ .

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

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $2$ .

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Step 5.1.1.1

Cancel the common factor.

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

Step 5.1.1.2

Rewrite the expression.

$t = 2 (x - 3)$

$t = 2 (x - 3)$

$t = 2 (x - 3)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $2 (x - 3)$ .

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Step 5.2.1.1

Apply the distributive property.

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

Step 5.2.1.2

Multiply $2$ by $- 3$ .

$t = 2 x - 6$

$t = 2 x - 6$

$t = 2 x - 6$

$t = 2 x - 6$

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