Find a if the given system of equations has infinite number of solutions. $4x + ay = 2 + 10y ~and~ ax + 24y = 8$
Solution
The equations have infinite solutions. Then,
$\frac {4}{a} = \frac {a - 10} {24} = \frac {2}{8}$
$\frac {4}{a} = \frac {2}{8} = a = 16$