Question

Which equation has no solution A.) 4(x+3)+2x=6(x+2) B.) 5+2(3+2x)=x+3(x+1) C.) 5(x+3)+x=4(x+3)+3 D.) 4+6(2+x)=2(3x+8)

Answer 1

B

Explanation:

I could explain this to you by using process of elimination but I think it would be easier to explain to you straight forward why answer choice B has no possible answers. First I did the equation out on a piece of paper:

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 +4x = x + 3x +3

11 + 4x = 4x +3

Now we have 4x + 3 = 4x + 11. It is impossible for 4x to be added to two entirely different numbers and still produce the same outcome, so that is why B is the correct answer choice.

Answer 2

B. 5+2(3+2x)=x+3(x+1)

Explanation:

Expand the brackets.

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

Add -4x and -11 on both sides.

4x - 4x = 3 - 11

0 = -8

There are no solutions.