SOLUTION: Please teach me one by one instructions.. Thank you 2x^2 - 8y^3 = 19 4x^2 + 16y^3 = 34

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Question 378132: Please teach me one by one instructions..
Thank you
2x^2 - 8y^3 = 19
4x^2 + 16y^3 = 34
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming this is a system of equations and you're looking for the intersection??
1.2x%5E2+-+8y%5E3+=+19
2.4x%5E2+%2B+16y%5E3+=+34
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Multiply eq. 1 by 2 and add the equations together to eliminate the y%5E3 term.
4x%5E2-16y%5E3%2B4x%5E2%2B16y%5E3=38%2B34
8x%5E2=72
x%5E2=9
highlight%28x=0+%2B-+3%29
Then use either equation to solve for y.
When x=3,
2%289%29-8y%5E3=19
18-8y%5E3=19
-8y%5E3=1
y%5E3=-1%2F8
highlight%28y=-1%2F2%29
The y solution is identical for x=-3.
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(-3,-1%2F2)
(3,-1%2F2)