Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bought 5 notebooks and 5 packs of index cards, he would have run short of $18.
A student concluded that the price of each notebook is $5 and the price of each pack of index cards is $1. Which statement best justifies whether the student's conclusion is correct or incorrect?

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\[3x+4y=32\] is one of the equations
then since \(32+18=50\) the other would be
\[5x+5y=50\]

you know how to solve
\[3x+4y=32\\
5x+5y=50\]?

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