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Q20. If the quotient obtained by dividing an integer by [tex]\(-9\)[/tex] is [tex]\(-8\)[/tex], find the integer.

Sagot :

To find the integer:

1. Let's denote the integer as \( x \). According to the problem, dividing \( x \) by -9 yields a quotient of -8. This can be expressed mathematically as:

[tex]\[ \frac{x}{-9} = -8 \][/tex]

2. To isolate \( x \), we need to eliminate the denominator of -9. To do this, we multiply both sides of the equation by -9:

[tex]\[ x = -8 \times -9 \][/tex]

3. Next, compute the right-hand side of the equation:

[tex]\[ x = 72 \][/tex]

Therefore, the integer [tex]\( x \)[/tex] is 72.