Question

If $M$ and $N$ are negative integers and $-3M+4N=10$, which of the following could be the value of $N$?

• A. $-2$
• B. $-4$
• C. $-6$
• D. $-7$
• E. $-9$

Answer 1

The correct option is A $-2$

$-3M+4N=10;M,N\in I^{-}$

$\Rightarrow N=\frac{10+3M}{4}$

Since it is given that $M$ and $N$ are negative.

For a negative integral value of $N,M$ must be $\le -4$

$\therefore$ for $M=-6$

$N=\frac{10+3(-6)}{4}=-2$