one number is equal to the product of -2 and the difference between another number (n) and 5. the sum of the numbers is 16. what is the second number

Question

one number is equal to the product of -2 and the difference between another number (n) and 5. the sum of the numbers is 16. what is the second number

Answer 1

Let x =the first number and n = the second number.

 

We have:

 

x = -2(n - 5) for one equation and

 

x + n = 16 for the other equation

 

We can solve this system of linear equations by the Substitution Method

 

Let's replace x in the second equation with -2(n - 5)

 

-2(n - 5) + n = 16

 

-2n + 10 + n = 16

 

10 - n = 16

 

-n = 6

 

n = -6

 

If n = -6, then x = -2(-6 - 5) = -2(-11) = 22