Algebra Examples

$2 x + 6 y \leq 10$

Step 1

Subtract $6 y$ from both sides of the inequality.

$2 x \leq 10 - 6 y$

Step 2

Divide each term in $2 x \leq 10 - 6 y$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x \leq 10 - 6 y$ by $2$ .

$\frac{2 x}{2} \leq \frac{10}{2} + \frac{- 6 y}{2}$

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.

$\frac{2 x}{2} \leq \frac{10}{2} + \frac{- 6 y}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x \leq \frac{10}{2} + \frac{- 6 y}{2}$

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 $10$ by $2$ .

$x \leq 5 + \frac{- 6 y}{2}$

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 $- 6 y$ .

$x \leq 5 + \frac{2 (- 3 y)}{2}$

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 $2$ .

$x \leq 5 + \frac{2 (- 3 y)}{2 (1)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$x \leq 5 + \frac{2 (- 3 y)}{2 \cdot 1}$

Step 2.3.1.2.2.3

Rewrite the expression.

$x \leq 5 + \frac{- 3 y}{1}$

Step 2.3.1.2.2.4

Divide $- 3 y$ by $1$ .

$x \leq 5 - 3 y$