Answer:
15
Step-by-step explanation:
The given equations are as follows:
[tex]\[\frac{2}{3}x+\frac{1}{5}y=6\][/tex]
[tex]\[\frac{1}{6}x -3y=8\][/tex]
The coefficient of y in the second equation is -3.
So in order to eliminate y we need to multiply the first equation by a value so that the coefficient of y becomes 3.
Since the coefficient of y in the first equation is \[\frac{1}{5}\], it needs to be multiplied by 15.
So the required multiplier for the first equation is 15
