Question

In the following given systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it
$3x-5y=20$
$6x-10y=40$

Answer 1

Divide equation (2) by 2;

$\Rightarrow$equation (2) : $3x-5y=20$, which is identical to $1^{st}$ equation

$\Rightarrow$both lines coincide with each other

$\therefore$The system has infinitely many solutions