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3 votes
Which of the following equations has no solutions?

A) 2x – 6 = 2x + 8
B) 4x – 8 = 10
C) 5x + 20 = 5x + 20
D) 9x = 9

2 Answers

4 votes
Your answer is A.
2x - 6 = 2x + 8
Just looking at this, it doesn’t make sense. Two times a number - 6 cannot equal two times the same number +8.

But solving it mathematically, we want to get the variables on one side of the equation, so we subtract 2x from both sides:
2x - 2x -6 = 8
Then add 6 to both sides:
2x - 2x = 14
0 = 14 is untrue.


The other options’ answers:

B: x = 4.5
4x - 8 = 10
4x = 18
x = 4.5

C: has an infinite number of solutions. Anything you plug into x on one side of the equation you will plug in on the other side. Both sides are identical.

D: x = 1

Please lmk if you have any questions.
User Marker
by
8.7k points
6 votes

Answer: I did the math in my head and I think it’s B

Explanation:

User Eddie Jaoude
by
8.1k points

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