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An Integer is divided by -8 and then -25 is added to the quotient. the result is +71. Find the integer​

Sagot :

Answer:

x = -768

Step-by-step explanation:

Let's represent the unknown integer as x.

The equation would be:

[tex] \frac{x}{ - 8} + ( - 25) = 71[/tex]

Just solve it as a linear equation.

Multiply it by -8 to cancel the fraction.

[tex] \frac{ - 8(x)}{ - 8} + - 8( - 25) = - 8(71)[/tex]

Cancel it out.

[tex]x + 200 = - 568[/tex]

Simplify the equation.

[tex]x + 200 - 200 = - 568 - 200[/tex]

[tex]x = - 768[/tex]