Question

The pair of equations 2x+3y=5 and 4x+6y=15 has

(a) a unique solution (b) exactly two solution

(c) infinitely many solutions (d) no solution

Answer 1

Given system of equations is: 2x + 3y = 5 and 4x + 6y = 10.

They can be rewritten as:

2x + 3y - 5 = 0 and

4x + 6y - 10 = 0

Here

ie

or

So, the given system of equations is consistent and possess infinitely many solutions.

So option c is correct.