Question

Given: -9x-21 = -20x-87
Prove: x = -6
What are the statements and reasons?

Answer 1

The given equation is -9x-21 = -20x-87. To prove x = -6, distribute and simplify the equation, then divide both sides by 11.

Step-by-step explanation:

Given: -9x-21 = -20x-87

Prove: x = -6

Proof:

1. Distribute and simplify both sides of the equation:
   -9x - 21 = -20x - 87
   -9x + 20x = -87 + 21 (Add 9x to both sides)
   11x = -66
   
   
2. Divide both sides by 11:
   x = -6