SOLUTION: Please help: use the elimination method to find all solutions of the system of equation. Problem 1: 2x^2+4y=13 , x^2-y^2=7/2 Problem 2: x^2-y^2=1 , 2x^2-y^2=x+3

SOLUTION: Please help: use the elimination method to find all solutions of the system of equation. Problem 1: 2x^2+4y=13 , x^2-y^2=7/2 Problem 2: x^2-y^2=1 , 2x^2-y^2=x+3

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Question 372695: Please help: use the elimination method to find all solutions of the system of equation.
Problem 1: 2x^2+4y=13 , x^2-y^2=7/2
Problem 2: x^2-y^2=1 , 2x^2-y^2=x+3
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
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2.
Multiply eq. 2 by (-2) and add to eq. 1,

Two solutions:

Then from eq. 1,

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.

Then from eq. 1,

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1.
2.
Subtract eq. 1 from eq. 2,

Two solutions:

Then from eq. 1,

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Then from eq. 1,

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