#### Answer

Answer A

#### Work Step by Step

$x+2y=23$
$4x-y=-7$
Multiply both sides of the second equation with $2$.
$8x-2y=-14$
Using elimination:
$x+2y=23$
$8x-2y=-14$
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$9x=9$
$x=1+2y=23$
Solve for y: $4(1)-y=-7 \rightarrow y=11$
The correct answer is A.