Answer:
The solution of a system of equations is the point(s) that lies on both lines. Therefore if the 2 lines cross over each other then there is exactly one solution. If they have no solution it means they are parallel since they don't share a single point and if they are overlapping lines then there is an infinite amount of solutions since they share the same points.
In this case it must have 1 solution.
To find which point is correct you should be able to plug in the same point for the x and y of the equations so that they are valid.
For example in the equation y=2x and y=-1/2x we need to find the point in which will work for both equations. In this case 0,0 is correct (0=0, 0=0)
So lets plug in the points and find the correct solution:
A. -1=-2+5
-1=-3 - this isn't true since -1 cant possibly equal -3. Therefore this point is incorrect.
B. 3=-2+5
3=3 - this is valid
______________
3=-2(-2)-1
3=4-1
3=3 - this is also valid
Therefore B is correct
(-2, 3)
Step-by-step explanation:
