How many solutions does the following system of linear equations have?
$-x + 5y = -1$
$x - y = 2$
$x + 3y = 3$
I think for any set of linear non homogeneous equations two distinct solutions (option B) can never be possible..
all the equations are linearly independent. i.e non of the equations can be obtained by multiplying one of equation with a number (this means that no two vectors overlap each other leading to a rank of 3). therefore there will be a unique solution.
Correct me if wrong :)
$2X2$ Minor with Determinant non - zero.