How many solutions does the following system of linear equations have?
$-x + 5y = -1$
$x - y = 2$
$x + 3y = 3$
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 :)