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How do you solve the system $x^2+y^2=25$ and $y=-3$ ?

1 Answer

Dec 9, 2016

$color(green)((x,y)=(-4,-3))$ and $color(green)((x,y)=(+4,-3))$

Explanation:

If $color(blue)x^2+color(red)y^2=25$
and $color(red)y=color(red)(-3)$
then
$color(white)("XXX")color(blue)x^2+(color(red)(-3))^2=25$

$color(white)("XXX")color(blue)x^2+9=25$

$color(white)("XXX")color(blue)x^2=16$

$color(white)("XXX")color(blue)x=+-4$

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