SOLUTION: How do you workout the problem x^2+9y^2=9 -2x+1y=-3 by elimination method

Question 749517: How do you workout the problem x^2+9y^2=9
-2x+1y=-3 by elimination method
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x^2+9y^2=9
-2x+1y=-3 --> y = 2x-3
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Sub for y in the 1st eqn
x^2+9y^2=9

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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1008 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.88850021260507, 1.03041870631385. Here's your graph:

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It might be called "elimination" since the y terms were eliminated by the substitution.

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