Question 430004
(1) {{{ .05x+ .25y = 11 }}}
(2) {{{ .15x+ .05y = 12 }}}
Multiply both sides of (1) and (2) by {{{100}}}
(1) {{{ 5x+ 25y = 1100 }}}
(2) {{{ 15x+ 5y = 1200 }}}
Multiply both sides of (2) by {{{5}}}
and subtract (1) from (2)
(2) {{{ 75x+ 25y = 6000 }}}
(1) {{{ -5x - 25y = -1100 }}}
{{{ 70x = 4900 }}}
{{{ x = 70 }}}
And
(1) {{{ 5*70 + 25y = 1100 }}}
(1) {{{ 350 + 25y = 1100 }}}
(1) {{{ 25y = 1100 - 350 }}}
(1) {{{ 25y = 750 }}}
{{{ y = 30 }}}
(70,30) answer