Question 330254
1.{{{2x^2 - y^2 +7 =0}}}
2.{{{3x^2 -4y^2 +33 =0}}}
From eq. 1,
{{{y^2=2x^2+7}}}
Substitute into eq. 2,
{{{3x^2-8x^2-28+33=0}}}
{{{-5x^2+5=0}}}
{{{5x^2=5}}}
{{{x^2=1}}}
{{{x=0 +- 1}}}
Solve for y using eq. 1,
{{{2-y^2+7=0}}}
{{{y^2=9}}}
{{{y=0 +- 3}}}
(-1,3),(-1,-3),(1,3),(1,-3)
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{{{drawing(300,300,-5,5,-5,5,circle(-1,3,.2),circle(-1,-3,.2),circle(1,3,.2),circle(1,-3,.2),grid(1),graph(300,300,-5,5,-5,5,sqrt(2x^2+7),sqrt((3x^2+33)/4)),graph(300,300,-5,5,-5,5,-sqrt(2x^2+7),-sqrt((3x^2+33)/4)))}}}