Which of the following equations have no solution? Check all that apply. 6x + 1 = 3(2x - 4) 2-5x = 7x - 12 4(3 - x) = 2(6 - 2x) 5(x + 2) = 2(x-4) -4(x + 3) = 4(-x-1)

Question

asked Feb 20, 2021 9.4k views

2 Answers

Bobylito · Answer 1 · 2021-02-24T21:42:55+0000

Hi there! :)

Answer:

Equations 1 and 5.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

We can simply each answer choice to find those which have no solution:

1. 6x + 1 = 3(2x - 4)

6x + 1 = 6x - 12

0 ≠ - 13, NO SOLUTION.

2. 2 - 5x = 7x - 12

14 = 12x

x = 7/6. 1 SOLUTION.

3. 4(3 - x) = 2(6 - 2x)

12 - 4x = 12 - 4x

0 = 0. INFINITE SOLUTIONS.

4. 5(x + 2) = 2(x - 4)

5x + 10 = 2x - 8

3x = -18

x = -6. 1 SOLUTION.

5. -4(x + 3) = 4(-x - 1)

-4x - 12 = -4x - 4

0 ≠ 8. NO SOLUTIONS.

Therefore, the only equations with no solutions are equations 1 and 5.