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

negative

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one

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positive

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zero

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Solution

The correct option is A negative
If $a x = b$ , 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.

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Question 2

If a and b are positive integers, then the solution of the equation ax = b will always be a

(a) positive number

(b) negative number

(d) 0

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Question 7

In the following question out of the four options only one is correct, write the correct answer.

If a and b are positive integers, then the solution of the equation ax=b has to be always:

(a) positive

(b) negative

(d) zero

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