Question 192002
Find the solutions by using substitution method. 
y squared= x squared - 32
x squared+ y squared = 40
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{{{y^2 = x^2 - 32}}}
{{{x^2 + y^2 = 40}}}
Sub for y^2 into the 2nd eqn
{{{x^2 + x^2-32 = 40}}}
{{{2x^2 = 72}}}
{{{x^2 = 36}}}
x = +6
x = -6
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{{{y^2 = x^2 - 32}}}
{{{y^2 = 36-32}}}
y = +2
y = -2