Question

If $a$ and $b$ are integers of opposite signs, then the solution of the equation $ax=b$ has to be always ______.

• A. zero
• B. positive
• C. negative
• D. one

Answer 1

The correct option is C negative

If $ax=b$, then $x=\frac{b}{a}$
Since, a and b are integers of opposite signs.
So, $\frac{b}{a}$ will be a negative rational number.
Hence, the solution of the given equation has to be always negative.