x^2 + y^2 = 25 and

x^2 + 7y = 37

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- Jun 10th 2009, 06:26 AMgalanmElimination method in non-linear equation
x^2 + y^2 = 25 and

x^2 + 7y = 37 - Jun 10th 2009, 06:28 AMAmer
- Jun 10th 2009, 06:29 AMmr fantastic
- Jun 10th 2009, 06:31 AMgalanm
The instructions state to use the elimintation method.

- Jun 10th 2009, 06:36 AMAmer
multiply the second one with -1 you will have

$\displaystyle -x^2-7y=-37$

find the sum of that and this

$\displaystyle x^2+y^2=25$

$\displaystyle -x^2-7y+x^2+y^2=27-37$

$\displaystyle y^2-7y+10=0$

$\displaystyle (y-2)(y-5)=0$

$\displaystyle y-2=0...y=2 , y-5=0...y=5$

sub these values of y in one of the equation $\displaystyle x^2+7y=37$ or $\displaystyle x^2+y^2=25$ you will have the values of x this is elimination you eliminate x ...