Question

2. 2x-y=5x+y=4

Answer 1

The given system of equations is,

2x−y=5 and x+y=4

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

[ 2 −1 1 1 ][ x y ]=[ 5 4 ]

Here, A=[ 2 −1 1 1 ], X=[ x y ] and B=[ 5 4 ].

Now, the determinant of A is,

| A |=2×1−1×( −1 ) =3

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

Hence, the system of equations is consistent.