Question

What is the solution to the system of equations represented by these two lines?
a. 0,4
b. 2,0
c. 4,2
d. 3,2
graph with this question.

how many solutions does this equation have?
y=-2x+3
y=-2x-1
a. 0
b. 1
c. 2
d. infinite ways

Answer 1

The solution of two equations/lines is their intersect point.
Therefore, there can only be one intersection point/solution, because these lines are neither parallel or identical.
In the graph you can see that they intersect at (x,y)=(2,3) which is your solution and option b or d as one of them seems to be mistyped :)

@question2
y=kx+b

both your equations share the same k=-2:
y=-2x+3
y=-2x-1

therefore these lines are parallel and don't have any intersection as they are always at different y values (the b)