Question 1153446
Let {{{ x }}} = the cost of a movie
Let {{{ y }}} = the cost of a video game
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(1) {{{ 5x + 3y = 30 }}}
(2) {{{ 2x + 6y = 42 }}}
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Multiply both sides of (1) by {{{ 2 }}} and
subtract (2) from (1)
(1) {{{ 10x + 6y = 60 }}}
(2) {{{ -2x - 6y = -42 }}}
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{{{ 8x = 18 }}}
{{{ x = 2.25 }}}
Plug this result back into either equation
(1) {{{ 5x + 3y = 30 }}}
(1) {{{ 5*2.25 + 3y = 30 }}}
(1) {{{ 11.25 + 3y = 30 }}}
(1) {{{ 3y = 18.75 }}}
(1) {{{ y = 6.25 }}}
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$2.25 = the cost of a movie
$6.25 = the cost of a video game
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check answers:
(1) {{{ 5x + 3y = 30 }}}
(1) {{{ 5*2.25 + 3*6.25 = 30 }}}
(1) {{{ 11.25 + 18.75 = 30 }}}
(1) {{{ 30 = 30 }}}
OK
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