Algebra Examples

$9 x - 7 y > 0$

Step 1

Solve for $y$ .

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Step 1.1

Subtract $9 x$ from both sides of the inequality.

$- 7 y > - 9 x$

Step 1.2

Divide each term in $- 7 y > - 9 x$ by $- 7$ and simplify.

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Step 1.2.1

Divide each term in $- 7 y > - 9 x$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 y}{- 7} < \frac{- 9 x}{- 7}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 7$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 7 y}{- 7} < \frac{- 9 x}{- 7}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y < \frac{- 9 x}{- 7}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Dividing two negative values results in a positive value.

$y < \frac{9 x}{7}$

Step 2

Reorder terms.

$y < \frac{9}{7} x$