Question

2x 3y 5z 25x -2y +62-1

Answer 1

The given system of equations is,

5x−y+4z=5 2x+3y+5z=2 5x−2y+6z=−1

Write the system of equations in the form of AX=B.

[ 5 −1 4 2 3 5 5 −2 6 ][ x y z ]=[ 5 2 −1 ]

Now, the determinant of A is,

| A |=5( 3×6+2×5 )+1( 2×6−5×5 )+4( −2×2−3×5 ) =140−13−76 =51

Since, | A |≠0, therefore, inverse of matrix A exists.

Hence, the system of equations is consistent.