Find the value of m if the equation $3x + 4y = 24,$ and $15x + 20y = 8m$ are consistent.
Solution
$3x + 4y = 24$
Multiply both the sides with 5,Then,
$15x + 20y = 120$ __ (1)
$15x + 20y = 8m$ __ (2)
To have (1) and (2) as consistent,
$\Rightarrow 120 = 8m \therefore m = 15$