SOLUTION: Solve the system of equation. 1. y=x^2+3x+6 y=-x+2

Algebra ->  Systems-of-equations -> SOLUTION: Solve the system of equation. 1. y=x^2+3x+6 y=-x+2      Log On


   

Question 433391: Solve the system of equation.
1. y=x^2+3x+6
y=-x+2
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Using the substitution method we can write:
-x%2B2=x%5E2%2B3x%2B6, we solve this quadratic equation
x%5E2%2B4x%2B4=0, as you see the left side is the square of sum.
%28x%2B2%29%5E2=0, x+2=0 => x=-2. Substitute this value of x on the second equation
of the system to find y.
y=-%28-2%29%2B2=4,thus the solution is the point (-2, 4).