Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
a(1, 0) and (0, –1)
b(–2, –3) and (1, 0)
c(0, –3) and (1, 0)
d(–3, –2) and (0, 1)

For the solution(s) to exist the equations must be equal to each other.  Thus we can say y=y which means:

x^2+2x-3=x-1  subtract x from both sides

x^2+x-3=-1  add 1 to both sides

x^2+x-2=0  now factor

(x+2)(x-1)=0, so there are two solutions:

x=-2 and 1, to find the corresponding y values we can use y=x-1

y(-2)=-3 and y(1)=0 so the two solutions are the points:

(-2,-3) and (1,0)

The answer to the question is d