What is the solution to the following system of equations?
y = x^2 + 5x + 3
y = x^2 + 3x – 3

A. (–3, 3)

B. (5, 3)

C. (5, –3)

D. (–3, –3)

Question

What is the solution to the following system of equations? 
y = x^2 + 5x + 3 
y = x^2 + 3x – 3 


A. (–3, 3) 

B. (5, 3) 

C. (5, –3) 

D. (–3, –3)

jhonyy9 · Answer

multiplie second equation by -1 and assum to first equations and will get 

 y=x^2 +5x +3
-y=-x^2-3x +3
---------------
0=0 + 2x +6
0=2x+6
2x=-6
x=-6/2
x=-3

y=x^2 +3x -3
y=(-3)^2 +3(-3) -3
y=9 -9 -3
y=-3

(-3,-3) so D. is the right answer