Question

Suppose that you found two different solutions for a system of two linear equations. How many solutions must the system have?

Answer 1

0

Explanation:

Two different solutions means the two equations aren't consistent - there's no unique solution that solves the whole system. Two lines can meet at at most one point, so in this case, no solution to the first equation will be a solution to the second. The system has 0 solutions.

Answer 2

One solution.

Explanation:

A linear line only goes one way, and thus, two lines can only meet at one point.

That is unless, the linear equations are both the same, then they will have infinite solutions.

But what you're asking is if they're different so no, you cannot have two solutions for a system of two linear equations.