In the system of equations below, a and c are constants.<br/><br/>\[\frac{1}{2}x+\frac{1}{3}y=\frac{1}{6}\] \[\alpha x+y=c\]<br/><br/>If the system of equations has an infinite number of solutions \((X,y)\), what is the value of a ?

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

-\dfrac{1}{2}

$0$

\dfrac{1}{2}

-\dfrac{3}{2}

ID: 66000180f01ca56a54c79bde