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Question

Part 1
Solve the equation. Check your answer.
negative 5 left parenthesis r plus 2 right parenthesis equals negative 61

Answer 1

To solve the equation \(-5(r + 2) = -61\), we can follow these steps:

1. Distribute \(-5\) on the left side: \[ -5r - 10 = -61 \]

2. Add \(10\) to both sides: \[ -5r - 10 + 10 = -61 + 10 \] \[ -5r = -51 \]

3. Divide by \(-5\) to isolate \(r\): \[ r = \frac{-51}{-5} = \frac{51}{5} = 10.2 \]

Check the solution:

Substituting \(r = 10.2\) back into the original equation:

\[ -5(10.2 + 2) = -61 \] First, calculate \(10.2 + 2\): \[ 10.2 + 2 = 12.2 \] Now, calculate \(-5 \times 12.2\): \[ -5 \times 12.2 = -61 \]

Both sides of the equation are equal, confirming that the solution is correct.

Thus, the solution is: \[ r = 10.2 \]