SOLUTION: What is the solution of the linear-quadratic system of equations? y=x^2+5x-3 y-x=2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the solution of the linear-quadratic system of equations? y=x^2+5x-3 y-x=2       Log On


   



Question 1103090: What is the solution of the linear-quadratic system of equations?
y=x^2+5x-3
y-x=2

Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution of the linear-quadratic system of equations?
y=x^2+5x-3
y-x=2
-----
Substitute for "y" and solve for "x"::
x+2 = x^2 + 5x - 3
----
x^2 + 4x - 5 = 0
-----
Factor:
(x+5)(x-1) = 0
x = -5 or x = 1
----
If x = -5, y = x+2 = -3
----
If x = 1, y = x+2 = 3
----------------
Cheers,
Stan H.
-----------

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=x^2+5x-3
y-x=2
y=x+2
x+2=x^2+5x-3
0=x^2+4x-5
0=(x+5)(x-1)
x=-5, 1
when x=-5, y =-3 (-5, -3)
when x=1, y=3 (1, 3)
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B5x-3%2Cx%2B2%29