Question

Which of the following best describes the equation below?

2(x + 11) + 5x = 7x - 22

A.
infinite real solutions

B.
no real solutions

C.
exactly one real solution, x =

D.
exactly one real solution, x = -1

Answer 1

B.

no real solutions

Explanation:

2(x + 11) + 5x = 7x - 22

Distribute

2x+22 +5x = 7x -22

Combine like terms

7x +22 = 7x-22

Subtract 7x from each side

7x-7x+22 = 7x-7x-22

22 = -22

This is never true so there are no solutions