Final answer:
If the lines in a system of equations have different slopes and the same y-intercept, the system will have one solution.
Step-by-step explanation:
If the lines in a system of equations have different slopes and the same y-intercept, the system will have one solution.
This is because when the lines have different slopes, they will intersect at a single point, which is the solution to the system of equations.
For example, if the equations are y = 2x + 3 and y = -4x + 3, both lines have the same y-intercept of 3 but different slopes of 2 and -4 respectively. These lines will intersect at the point (0, 3), which is the solution to the system.