Question 1102793
(1) {{{ x + y = 10 }}}
(2) {{{ x^2 + y^2 = 250 }}}
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(1) {{{ y = 10 - x }}}
and
(2) {{{ x^2 + ( 10 - x )^2 = 250 }}}
(2) {{{ x^2 + 100 - 20x + x^2 = 250 }}}
(2) {{{ 2x^2 - 20x - 150 = 0 }}}
(2) {{{ x^2 - 10x - 75 = 0 }}}
(2) {{{ ( x - 15 )*( x + 5 ) = 0 }}} ( by looking at it )
{{{ x - 15 = 0 }}}
{{{ x = 15 }}}
and
(1) {{{ x + y = 10 }}}
(1) {{{ 15 + y = 10 }}}
(1) {{{ y = -5 }}}
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(2) {{{ x^2 + y^2 = 250 }}}
(2) {{{ 15^2 + (-5)^2 = 250 }}}
(2) {{{ 225 + 25 = 250 }}}
(2) {{{ 250 = 250 }}}
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The integers are 15 and -5