Chapter 9: Q. 30 (page 483)

Simplify the expression $\frac{7}{y - 8} - \frac{6}{8 - y}$ .

Short Answer

Expert verified

The simplified value of expression is $\frac{13}{y + 8}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{7}{y - 8} - \frac{6}{8 - y}$ .

Step 2. Simplify the expression.

The given expression $\frac{7}{y - 8} - \frac{6}{8 - y}$ is simplified as:

$\begin{matrix} \frac{7}{y - 8} - \frac{6}{8 - y} = \frac{7}{y - 8} + \frac{6}{y - 8} \\ = \frac{7 + 6}{y + 8} \\ = \frac{13}{y + 8} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $\frac{13}{y + 8}$ .

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Simplify the expression $\frac{7}{y - 8} - \frac{6}{8 - y}$ .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Simplify the expression7y−8−68−y.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Simplify the expression $\frac{7}{y - 8} - \frac{6}{8 - y}$ .