avapoblete
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11 less than three times a number is the same as 75 less than the product of -1 and the number. Find the value of the number.

Answer :

shrekingtonmcgarthy

Answer:

-16

Step-by-step explanation:

(3*-16)-11=-59

(-1*-16)-75=-59

Let's translate the two expressions into formulae:

11 less than three times a number: [tex]3x-11[/tex]

75 less than the product of -1 and the number [tex]-x-75[/tex]

Those two are the same, so we have

[tex]3x-11=-x-75[/tex]

Add [tex]x[/tex] to both sides:

[tex]4x-11=-75[/tex]

Add 11 to both sides:

[tex]4x=-64[/tex]

Divide both sides by 4 to get the final answer.

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