SOLUTION: Solve the following system of equations algebraically and check: y = 2x^2 + 2x + 3 x = y-3. What is the integer solution? What is the noninteger solution?

Algebra ->  Linear-equations -> SOLUTION: Solve the following system of equations algebraically and check: y = 2x^2 + 2x + 3 x = y-3. What is the integer solution? What is the noninteger solution?      Log On


   

Question 351475: Solve the following system of equations algebraically and check: y = 2x^2 + 2x + 3 x = y-3. What is the integer solution? What is the noninteger solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x=y-3
y=x%2B3
Substitue,
x%2B3=2x%5E2%2B2x%2B3
2x%5E2%2Bx=0
x%282x%2B1%29=0
Two solutions:
x=0
Then
y=0%2B3
y=3
(0,3)
.
.
.
2x%2B1=0
2x=-1
x=-1%2F2
Then
y=-1%2F2%2B3
y=-1%2F2%2B6%2F2
y=5%2F2
(-1/2,5/2)
.
.
.