Question 1080464
Let {{{ a }}} = the number of cars used
Let {{{ b }}} = the number of minibuses used
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(1) {{{ 5a + 14b = 53 }}}
(2) {{{ 4a + 6b = 32 }}}
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Multiply both sides of (1) by {{{4}}}
Multiply both sides of (2) by {{{5}}}
Subtract (2) from (1)
(1) {{{ 20a + 56b = 212 }}}
(2) {{{ -20a - 30b = -160 }}}
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{{{ 26b = 52 }}}
{{{ b = 2 }}}
and
(2) {{{ 4a + 6b = 32 }}}
(2) {{{ 4a + 6*2 = 32 }}}
(2) {{{ 4a = 20 }}}
(2) {{{ a = 5 }}}
Ther are 5 cars and 2 minibuses
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check:
(1) {{{ 5a + 14b = 53 }}}
(1) {{{ 5*5 + 14*2 = 53 }}}
(1) {{{ 25 + 28 = 53 }}}
(1) {{{ 53 = 53 }}}
OK
You can check (2)