Question

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 1

Answer:

-16

Step-by-step explanation:

(3*-16)-11=-59

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

Answer 2

Let's translate the two expressions into formulae:

11 less than three times a number: $3x-11$

75 less than the product of -1 and the number $-x-75$

Those two are the same, so we have

$3x-11=-x-75$

Add $x$ to both sides:

$4x-11=-75$

Add 11 to both sides:

$4x=-64$

Divide both sides by 4 to get the final answer.