Answer:
The graph of system of equation with different slopes will never have no solutions .
Explanation:
If we are given a system of equations such that both the equations have different slope then the lines will intersect for sure.
This means that the intersection point of the two lines will be a solution of the system of equations.
Hence, we will never get a no solution.
( We generally obtain a no solution when two lines have same slope but different y-intercepts.
since in this case when in slope intercept form of the equation we put x=0 we get two different values of y which will result in absurd results).
Hence, the graph of system of equations with different slopes will never have no solution.