Question 1150562
Let {{{ r }}} = number Ralph read
Let {{{ h }}} = number Homer read
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(1) {{{ r + h = 33 }}}
(2) {{{ r = 4h + 3 }}}
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(2) {{{ r - 4h = 3 }}}
Subtract (2) from (1)
(1) {{{ r + h = 33 }}}
(2) {{{ -r + 4h = -3 }}}
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{{{ 5h = 30 }}}
{{{ h = 6 }}}
and
(1) {{{ r + 6 = 33 }}}
(1) {{{ r = 27 }}}
Ralph read 27
Homer read 6
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check:
(2) {{{ r = 4h + 3 }}}
(2) {{{ 27 = 4*6 + 3 }}}
(2) {{{ 27 = 24 + 3 }}}
(2) {{{ 27 = 27 }}}
OK