If the system of linear equations
x -- 2y + kz = 1
2x + y + z = 2
3x -- y -- kz = 3
has a solution (x,y,z), z \[ \ne \] 0, then (x,y) lies on
the straight line whose equation is :
Solutions · 1
Official solution
x -- 2y + kz = 1 ......(1)
2x + y + z = 2 .........(2)
3x -- y -- kz = 3 ........(3)
for locus of (x, y)
add equation (1) + (3)
4x -- 3y = 4
\[ \Rightarrow \] 4x -- 3y - 4 = 0