Answer:
The system of equations has one solution. The equations have different slopes, so the lines intersect at one point.
If a system of equations have the same slope, then the lines will run parallel to each other and never cross, leading to no solution being possible. Or if they have the same slope and same y-intercept (therefore being equations for the same line), they will have an infinite number of solutions.
Step-by-step explanation:
The solution to a system of equations is the point where the lines intersect. Looking at this question if we remember the slope-intercept form y=mx+b where m is slope and b is the y-intercept. We can see m=1 for the first equation and m=2 for the second equation. Anytime two equations have different slopes it is guaranteed they will intersect at some point leading to one solution.
