Answer
$(-5, -1)$, $(-5, 1)$, $(5, -1)$, $(5, 1)$
Work Step by Step
$x^2+y^2=26$
$x^2-2y^2=23$
$x^2+y^2=26$
$2*(x^2+y^2)=26*2$
$2x^2+2y^2=52$
$x^2-2y^2=23$
$2x^2+2y^2=52$
$x^2-2y^2+2x^2+2y^2=23+52$
$3x^2=75$
$3x^2/3=75/3$
$x^2=25$
$\sqrt {x^2} = \sqrt {25}$
$x = ±5$
$x^2+y^2=26$
$25+y^2=26$
$25+y^2-25=26-25$
$y^2=1$
$\sqrt {y^2} = \sqrt 1$
$y= ±1$
