Algebra Examples

$2 y + x < 5$ and $3 x - y > 8$

Step 1

Subtract $2 y$ from both sides of the inequality.

$x < 5 - 2 y$ and $3 x - y > 8$

Step 2

Simplify the second inequality.

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Step 2.1

Add $y$ to both sides of the inequality.

$x < 5 - 2 y$ and $3 x > 8 + y$

Step 2.2

Divide each term in $3 x > 8 + y$ by $3$ and simplify.

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Step 2.2.1

Divide each term in $3 x > 8 + y$ by $3$ .

$x < 5 - 2 y$ and $\frac{3 x}{3} > \frac{8}{3} + \frac{y}{3}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $3$ .

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Step 2.2.2.1.1

Cancel the common factor.

$x < 5 - 2 y$ and $\frac{3 x}{3} > \frac{8}{3} + \frac{y}{3}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x < 5 - 2 y$ and $x > \frac{8}{3} + \frac{y}{3}$

Step 3