Question 1056539
Let {{{ a }}} = thr number of 33 cent stamps she bought
Let {{{ b }}} = the number of 49 cent stamps she bought
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(1) {{{ a + b = 46 }}}
(2) {{{ 33a + 49b = 1934 }}} ( in cents )
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Multiply both sides of (1) by {{{ 33 }}}
and subtract (1) from (2)
(2) {{{ 33a + 49b = 1934 }}} 
(1) {{{ -33a - 33b = -1518 }}}
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{{{ 16b = 416 }}}
{{{ b = 26 }}}
and
(1) {{{ a + 26 = 46 }}}
(1) {{{ a = 20 }}}
OK
She bought 20 of the 33 cents stamps
She bought 26 of the 49 cent stamps
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check:
(2) {{{ 33a + 49b = 1934 }}}
(2) {{{ 33*20 + 49*26 = 1934 }}}
(2) {{{ 660 + 1274 = 1934 }}}
(2) {{{ 1934 = 1934 }}}
OK