Question 378132
I'm assuming this is a system of equations and you're looking for the intersection??
1.{{{2x^2 - 8y^3 = 19}}}
2.{{{4x^2 + 16y^3 = 34}}}
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Multiply eq. 1 by 2 and add the equations together to eliminate the {{{y^3}}} term.
{{{4x^2-16y^3+4x^2+16y^3=38+34}}}
{{{8x^2=72}}}
{{{x^2=9}}}
{{{highlight(x=0 +- 3)}}}
Then use either equation to solve for {{{y}}}.
When {{{x=3}}},
{{{2(9)-8y^3=19}}}
{{{18-8y^3=19}}}
{{{-8y^3=1}}}
{{{y^3=-1/8}}}
{{{highlight(y=-1/2)}}}
The {{{y}}} solution is identical for {{{x=-3}}}.
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({{{-3}}},{{{-1/2}}})
({{{3}}},{{{-1/2}}})