Question

Does a multi-step equation always, sometimes, or never have a solution? Explain your reasoning.

Answer 1

Only sometimes.

4x + 1 = 2x+3 has a solution.

4x + 1 = 4(x+1) has infinitely many solutions.

(3*9) -28 = 45^ 0 has no solutions.

Therefore, a multi-step equation sometimes has a solution.