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

Always
Sometimes
Never

the answer is sometimes

i recommend you google it first

I agree the answer is sometime.

Sometimes

To understand why, let's first look at what it means for two equations to have different slopes and different y-intercepts.

Different slopes mean that the lines are not parallel, and different y-intercepts mean that they do not intersect at the same point on the y-axis.

In some cases, these lines will intersect at a single point, and that point will be the solution to the system of equations. This happens when the lines have different slopes but are not too close together.

However, there are cases where two lines with different slopes and different y-intercepts do not intersect at any point. These lines are called parallel lines and have no common solution.

So, it is possible for a system of equations with different slopes and different y-intercepts to have more than one solution, but it is also possible for the system to have no solution. Therefore, the correct answer is sometimes.