Question

Write the conditions of consistency of linear equations ax1+by2+c and ax2 +by+2 c

Answer 1

for consistency equations can have unique solution or infinitely many solution,
for unique solution,
a1/a2 not equal to b1/b2
for infinitely many solution,
$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

Answer 2

Consistent solutions have two types of solutions
1. Unique solution
ie a1/at is not equal to b1/b2
The linear equations having unique solution form intersecting lines
2.infinitly many solutions
.,ie a1/a2=b1/b2=c1/c2
The linear equations which have infinitely many solutions form coincident lines