Question 390570
{{{y^2 = x^2 + 16}}} Eqn 1
{{{y^2 + z^2 = 36}}} Eqn 2
Sub for y^2 in the 2nd eqn
{{{x^2 + 16 + z^2 = 36}}}
{{{x^2 + z^2 = 20}}} Eqn A
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{{{z^2 = x^2 + 4}}}
Sub z^2 in eqn A
{{{x^2 + (x^2+4) + 20}}}
{{{2x^2 = 16}}}
{{{x = 2sqrt(2)}}}
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{{{y^2 = x^2 + 16}}} Eqn 1
{{{y^2 = 8 + 16}}}
{{{y = 2sqrt(6)}}}
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{{{y^2 + z^2 = 36}}} Eqn 2
{{{24 + z^2 = 36}}}
{{{z = 2sqrt(3)}}}