Question

What are the solutions of the system?
y = x^2 + 4x - 5
y = 2x - 2

A. (–3, –8) and (1, 0)

B. (–3, –8) and (–1, –4)

C. (–3, 0) and (1, –8)

D. no solution

A, B, C, or D? Please explain (:

Answer 1

A solution of a system of equations means where on a graph the two lines cross;
So to figure this out you have to graph the equations, you can use a graphing calculator or I recommend using this website which is an online graphing calculator;
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

So once you finish graphing the two equations you have to look for when they cross;
Once you graph it, you find that the first equation is a parabola, and the second runs through this parabola twice, meaning there are 2 sets of points that the lines cross;

The two points are;

(-3, -8) and (1, 0)
So the answer would be A.

Answer 2

Thank you (: And thanks for the link too :D

Answer 3

No problem. (: