Question

How many solutions can a single variable linear equation contain?

Select all that apply.

two solutions
one solution
infinite number of solutions
no solution

Answer 1

Select: one solution; infinite number of solutions; no solution.

Explanation: ax + b = 0 with a ≠ 0 gives exactly one solution. If a = 0 and b ≠ 0 there is no solution (contradiction). If a = 0 and b = 0 every x is a solution (infinitely many). Two solutions is not possible.