Show that the system 2x + 3y – 1 = 0, 4x + ky – 10 = 0 has no solution.
The given two equations are:
2x + 3y – 1 = 0 …(i)
4x + ky – 10 = 0 …(ii)
Here, we have:
a1 = 2, b1 = 2 and c1 = – 1
a2 = 4, b2 = 6 and c2 = – 4
Now, we have
∴
Hence, the given system has no solution