SOLUTION: what are the steps that you go through using substitution to answer systems od quadratics? 2y^2+x^2=4 y+x=3

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Question 364352: what are the steps that you go through using substitution to answer systems od quadratics?
2y^2+x^2=4
y+x=3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
One's a ellipse, one's a line.
1. 2y%5E2%2Bx%5E2=4
2.y%2Bx=3
From eq. 2,
y=3-x
Substitute into eq. 1,
2%283-x%29%5E2%2Bx%5E2=4
2%289-6x%2Bx%5E2%29%2Bx%5E2=4
18-12x%2B2x%5E2%2Bx%5E2=4
3x%5E2-12x%2B18=4
3x%5E2-12x%2B14=0
There are no real solutions which means the line and the ellipse do not intersect.
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