Question 467049
Given:
(1) {{{ 8x + 16y = 296 }}}
(2) {{{ 6x + 18y = 252 }}}
Multiply Both sides of (1) by {{{3}}}
Multiply both sides of (2) by {{{4}}}
Then subtract (1) from (2)

(2) {{{ 24x + 72y = 1008 }}}
(1) {{{ -24x - 48y = -888 }}}
{{{ 24y = 120 }}}
{{{ y = 5 }}}
Plug this back into (1)
(1) {{{ 8x + 16*5 = 296 }}}
(1) {{{ 8x + 80 = 296 }}}
(1) {{{ 8x = 216 }}}
(1) {{{ x = 27 }}}
check answers:
(2) {{{ 24x + 72y = 1008 }}}
(2) {{{ 24*27 + 72*5 = 1008 }}}
(2) {{{ 648 + 360 = 1008 }}}
(2) {{{ 1008 = 1008 }}}
OK