Algebra Examples

$2 x - 3 y \geq 12$

Step 1

Add $3 y$ to both sides of the inequality.

$2 x \geq 12 + 3 y$

Step 2

Divide each term in $2 x \geq 12 + 3 y$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x \geq 12 + 3 y$ by $2$ .

$\frac{2 x}{2} \geq \frac{12}{2} + \frac{3 y}{2}$

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.

$\frac{2 x}{2} \geq \frac{12}{2} + \frac{3 y}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x \geq \frac{12}{2} + \frac{3 y}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $12$ by $2$ .

$x \geq 6 + \frac{3 y}{2}$