Question

Solve the equation 8g - 10 = -9(-2g - 20) and determine the number of solutions.

A) No solution
B) One solution
C) Two solutions
D) Infinite solutions

Answer 1

To solve the equation 8g - 10 = -9(-2g - 20), follow these steps: distribute, combine like terms, subtract, and divide. Therefore the correct answer is B) One solution

Step-by-step explanation:

To solve the equation 8g - 10 = -9(-2g - 20), we need to follow these steps:

1. Distribute the -9 to (-2g - 20). This gives us: 8g - 10 = 18g + 180.
2. Combine like terms on both sides of the equation. Subtract 8g from both sides: -10 = 10g + 180.
3. Subtract 180 from both sides: -190 = 10g.
4. Finally, divide both sides by 10 to solve for g: g = -19.

This equation has one solution (B) which is g = -19.