Chapter 2: Q 10 (page 111)

In the following exercises, solve each linear equation. $- 6 + 6 (5 - k) = 15$

Short Answer

Expert verified

The answer is $k = \frac{3}{2}$

Step by step solution

Step 1. Given information

The equation is $- 6 + 6 (5 - k) = 15$

Find value of k and check

Step 2. Calculation

Simplify the equation $- 6 + 6 (5 - k) = 15$

$- 6 + 30 - 6 k = 15$

Combine like terms

$- 6 + 30 - 15 = 6 k 9 = 6 k$

Divide by 6 on both sides

$\frac{9}{6} = k \frac{3}{2} = k$

Step 3. Check

Substitute $\frac{3}{2} = k$ in the equation $- 6 + 6 (5 - k) = 15$

$- 6 + 6 (5 - \frac{3}{2}) = 15 - 6 + 6 (\frac{7}{2}) = 15 - 6 + 21 = 15 15 = 15$

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In the following exercises, solve each linear equation. $- 6 + 6 (5 - k) = 15$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Check

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Step by step solution

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Step 3. Check

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Most popular questions from this chapter

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In the following exercises, solve each linear equation. $- 6 + 6 (5 - k) = 15$