Question

Systems of equations with different slopes and different y-intercepts have more than one solution.

Always

Sometimes

Never

Answer 1

Never

Answer 2

If the slopes are constant (i.e. the equations are both linear), then they can only have one.

Answer 3

Different slopes for two lines means the two lines must meet at some point and that means the two lines have one solution.

Answer 4

so only one solution is possible

Answer 5

A solution to a system of equations (two lines) is where the two lines meet (single point). Not all lines can meet - for example parallel lines.

Answer 6

But that would require them to have the same slope