Use the matrix method to solve the system of equations 2 x + 4 y = 8 and 6 x + 3 y = -3. The resulting matrix is:

Answer:[tex]x=-2,y=3[/tex]Step-by-step explanation:The given system of equations is [tex]2x+4y=8[/tex]and[tex]6x+3y=-3[/tex]The augmented matrix is [tex]\left[\begin{array}{ccc}2&4&|8\\6&3&|-3\end{array}\right][/tex][tex]\frac{1}{2}R_1\to R_1[/tex][tex]\left[\begin{array}{ccc}1&2&|4\\6&3&|-3\end{array}\right][/tex][tex]-6R_1+R_2\to R_2[/tex][tex]\left[\begin{array}{ccc}1&2&|4\\0&-9&|-27\end{array}\right][/tex][tex]-\frac{1}{9}R_2\to R_2[/tex][tex]\left[\begin{array}{ccc}1&2&|4\\0&1&|3\end{array}\right][/tex][tex]-2R_2+R_1\to R_1[/tex][tex]\left[\begin{array}{ccc}1&0&|-2\\0&1&|3\end{array}\right][/tex]Hence [tex]x=-2,y=3[/tex]