MM
Mashaal Masha
Mar 24, 2024
In the system of equations below, $a$ and $c$ are constants.
$$\frac{1}{2}x+\frac{1}{3}y=\frac{1}{6} \\ ax+y=c$$
If the system of equations has an infinite number of solutions $(x,y)$, what is the value of $a$?
Difficulty: Hard
A:
$-\dfrac{1}{2}$
B:
$0$
C:
$\dfrac{1}{2}$
D:
$-\dfrac{3}{2}$
ID: 66000180f01ca56a54c79bde