Systems of equations with different slopes and different y-intercepts have more than one solution. Always Sometimes Never
If the slopes are constant (i.e. the equations are both linear), then they can only have one.
Different slopes for two lines means the two lines must meet at some point and that means the two lines have one solution.
|dw:1319656802719:dw|so only one solution is possible
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.
But that would require them to have the same slope
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