Given the system of equations match the following itemsx + 3y = 5x - 3y = -1 Options:y-determinatex-determinatesystem determinate

I think the second equation should be x + 3y = -1.System determinate:System determinate is nothing but the co-efficient matrixTherefore, co-efficient matrix is [tex]\left[\begin{array}{cc}1&3\\1&3\\\end{array}\right][/tex]x-determinatex determinate is obtained by replacing the first column of the system determinate by solution column.Therefore, x-determinate is [tex]\left[\begin{array}{cc}5&3\\-1&3\\\end{array}\right][/tex]y-determinatey determinate is obtained by replacing the second column of the system determinate by solution column.Therefore, y-determinate is [tex]\left[\begin{array}{cc}1&5\\1&-1\\\end{array}\right][/tex]