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# Solving system of equations through cross multiplication

## Problem

Logan solved a system of equations using cross-multiplication method.
$\begin{cases} 2y+5x&=53\\\\ 13y-2x&=34 \end{cases}$
This is what he gets after applying the formula minus
start underbrace, start fraction, x, divided by, 2, left parenthesis, minus, 34, right parenthesis, minus, left parenthesis, 13, right parenthesis, left parenthesis, minus, 53, right parenthesis, end fraction, end underbrace, start subscript, A, end subscript, equals, start underbrace, start fraction, y, divided by, left parenthesis, minus, 53, right parenthesis, left parenthesis, minus, 2, right parenthesis, minus, left parenthesis, minus, 34, right parenthesis, left parenthesis, 5, right parenthesis, end fraction, end underbrace, start subscript, B, end subscript, equals, start underbrace, start fraction, 1, divided by, left parenthesis, minus, 2, right parenthesis, left parenthesis, 2, right parenthesis, minus, 5, left parenthesis, 13, right parenthesis, end fraction, end underbrace, start subscript, C, end subscript
Which of the following parts of Logan's solution was wrong?