Question 1073453
Let {{{ a }}} = the cost of 1 day lily
Let {{{ b }}} = the cost of 1 pot of Ivy
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(1) {{{ 6a + 14b = 82 }}}
(2) {{{ 3a + b = 29 }}}
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Multiply both sides of (2) by {{{ 2 }}}
and subtract (2) from (1)
(1) {{{ 6a + 14b = 82 }}}
(2) {{{ -6a - 2b = -58 }}}
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{{{ 12b = 24 }}}
{{{ b = 2 }}}
and
(2) {{{ 3a + b = 29 }}}
(2) {{{ 3a + 2 = 29 }}}
(2) {{{ 3a = 27 }}}
(2) {{{ a = 9 }}}
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The cost of 1 day lily is $9
The cost of 1 pot of Ivy $2
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check:
(1) {{{ 6a + 14b = 82 }}}
(1) {{{ 6*9 + 14*2 = 82 }}}
(1) {{{ 54 + 28 = 82 }}}
(1) {{{ 82 = 82 }}}
OK