Posted by **ashley** on Monday, April 9, 2012 at 8:51pm.

systems of nonlinear equations

i need to help i have tried this problem but i cannot find the right answer i need to determine the real solutions for this:

x^2+4xy=10

4x^2-xy=6

- algebra -
**bobpursley**, Monday, April 9, 2012 at 9:26pm
multipy the bottom equation by 4

x^2+4xy=10

16x^2-4xy=24

add the equations

17x^2=34

solve for x, you get +-sqrt2

put each of those values into the first equation, and solve for y.

I will do the -sqrt2=x for you.

2-y4sqrt2=10

4ysqrt2=-8

y=-2/sqrt2= -sqrt2

now do the solution of y for x=+sqrt2

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