if they are linear equations, then check the slopes. Lines with different slopes must intersect at a point
If the slopes are the same, then check to see wheter they are the same line. That is, one equation will be just a multiple of the other. In that case, many solutions.
If same slope and not the same line, they are parallel, and will not intersect, so no solution.
If you're dealing with more than two equations and two variables, it gets trickier, but follows the same logic.
Before graphing equations, how can you determine whether a system of equations has exactly one solution, infinitely many solutions, or no solution?
1 answer
1 answer