Answer
Yes
Work Step by Step
$x+y=7$
$8x+19y=100$
$x+y-y=7-y$
$x=7-y$
$x=7-y$
$8x+19y=100$
$8(7-y)+19y = 100$
$56-8y+19y = 100$
$56+11y=100$
$56+11y-56=100-56$
$11y=44$
$11y/11 = 44/11$
$y=4$
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