Pre-Algebra Examples

$- 6 x + 2 y \leq 42$

Step 1

Add $6 x$ to both sides of the inequality.

$2 y \leq 42 + 6 x$

Step 2

Divide each term in $2 y \leq 42 + 6 x$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 y \leq 42 + 6 x$ by $2$ .

$\frac{2 y}{2} \leq \frac{42}{2} + \frac{6 x}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} \leq \frac{42}{2} + \frac{6 x}{2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y \leq \frac{42}{2} + \frac{6 x}{2}$

$y \leq \frac{42}{2} + \frac{6 x}{2}$

$y \leq \frac{42}{2} + \frac{6 x}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $42$ by $2$ .

$y \leq 21 + \frac{6 x}{2}$

Step 2.3.1.2

Cancel the common factor of $6$ and $2$ .

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Step 2.3.1.2.1

Factor $2$ out of $6 x$ .

$y \leq 21 + \frac{2 (3 x)}{2}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $2$ out of $2$ .

$y \leq 21 + \frac{2 (3 x)}{2 (1)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$y \leq 21 + \frac{2 (3 x)}{2 \cdot 1}$

Step 2.3.1.2.2.3

Rewrite the expression.

$y \leq 21 + \frac{3 x}{1}$

Step 2.3.1.2.2.4

Divide $3 x$ by $1$ .

$y \leq 21 + 3 x$

$y \leq 21 + 3 x$

$y \leq 21 + 3 x$

$y \leq 21 + 3 x$

$y \leq 21 + 3 x$

$y \leq 21 + 3 x$

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