How do you determine whether a linear system has one solution, many solutions, or no solution when given 7x+4y=26 and 3x-8y=-18?
1) If the slopes are different, then there is ONE solution.
2) If the slopes are the same, but different y-intercepts, then there are NO solutions.
3) Finally, if the slopes and y-intercepts are both the same, then there are an INFINITE number of solutions.
In your example, the two systems have different slopes (
Hope that helped