Q:

Which of these equations have no solution? Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1

Accepted Solution

A:
Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solutionEquations with no solutionsEquations with no solutions has two of its sides to be equal.From the given option, we can check he equation5(x + 4) - x = 4(x+5) - 1Expand5x + 20 - x = 4x + 20 -14x +20 = 4x + 19
4x - 4x = -1Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solutionLearn more on no solution here: