Use the Five-Step Strategy for Solving Word Problems to Find $y _ { 1 } = \frac { 1 } { x + 2 } , y _ { 2 } = \frac { 1 } { x - 2 } , y _ { 3 } = \frac { 1 } { x ^ { 2 } - 4 }$

question 50

Multiple Choice

Use the five-step strategy for solving word problems to find the number or numbers described in the following
exercise.
- $y _ { 1 } = \frac { 1 } { x + 2 } , y _ { 2 } = \frac { 1 } { x - 2 } , y _ { 3 } = \frac { 1 } { x ^ { 2 } - 4 }$ , and the difference between 9 times $y _ { 1 }$ and 7 times $y _ { 2 }$ is the product of 10 and $y 3$ .

• A) \(\{ 21 \}\)
• B) \(\{ - 21 \}\)
• C) \(\{ \sqrt { 57 } \}\)
• D) \(\{ 42 \}\)

---

Definitions:

U-joint

A universal joint, a flexible pivot point that transmits power allowing for variable angles between drive shafts.

Slide Hammer

A tool consisting of a sliding heavy weight mounted on a shaft, used to apply force in a specific direction without striking an object directly, often used in automotive repair for removing parts.

U-joint Puller

A specialized tool used to remove universal joints (U-joints) from drive shafts without causing damage.