Question

Which of the following best describes the solution to the equation below?

6x + 16 = -22 + 6x
A. no real solutions
B. exactly one real solution,
C. infinite real solutions
D. exactly one real solution,

Answer 1

the best way to do this is to try and solve for your x variable and see what happens.

6x + 16 = -22 + 6x ... subtract 6x and notice that your x's cancel out. if your variables cancel out, this means that there are no real solutions:

16 = -22 ... is your result. this is NOT true, which means there is no solution this this equation. your answer is A.