Pre-Algebra Examples

$6 x + 3 y < 18$

Step 1

Subtract $3 y$ from both sides of the inequality.

$6 x < 18 - 3 y$

Step 2

Divide each term in $6 x < 18 - 3 y$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 x < 18 - 3 y$ by $6$ .

$\frac{6 x}{6} < \frac{18}{6} + \frac{- 3 y}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} < \frac{18}{6} + \frac{- 3 y}{6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{18}{6} + \frac{- 3 y}{6}$

$x < \frac{18}{6} + \frac{- 3 y}{6}$

$x < \frac{18}{6} + \frac{- 3 y}{6}$

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 $18$ by $6$ .

$x < 3 + \frac{- 3 y}{6}$

Step 2.3.1.2

Cancel the common factor of $- 3$ and $6$ .

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Step 2.3.1.2.1

Factor $3$ out of $- 3 y$ .

$x < 3 + \frac{3 (- y)}{6}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $3$ out of $6$ .

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

Step 2.3.1.2.2.2

Cancel the common factor.

$x < 3 + \frac{3 (- y)}{3 \cdot 2}$

Step 2.3.1.2.2.3

Rewrite the expression.

$x < 3 + \frac{- y}{2}$

$x < 3 + \frac{- y}{2}$

$x < 3 + \frac{- y}{2}$

Step 2.3.1.3

Move the negative in front of the fraction.

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

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

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

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

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