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Verified Answer :

take the coefients and use gausian elimination
\(\left[\begin{array}{ccc}-1&4&|8\\-2&1&|9\end{array}\right]\)
multiply top row by -2 and add to 2nd row
\(\left[\begin{array}{ccc}-1&4&|8\\0&-7&|-7\end{array}\right]\)
divide bottom row by -7
\(\left[\begin{array}{ccc}-1&4&|8\\0&1&|1\end{array}\right]\)
multiply bottom row by -4 and add to top row
\(\left[\begin{array}{ccc}-1&0&|4\\0&1&|1\end{array}\right]\)
times top row by -1
\(\left[\begin{array}{ccc}1&0&|-4\\0&1&|1\end{array}\right]\)

x=-4
y=1

dunno what the blanks are and the a0 and a1