Question

Write the equations for the following:-

If you add 5 to a number and multiply the result by 2, it gives 16.​

Answer 1

Answer:

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(1 + n)5 = 21 + 2n is the equation stated verbatim in the question

To solve, do the requisite factoring first -

5 + 5n = 21 + 2n

Now, put all the unknowns on one side of the polynomial equation by subtracting 2n and 5 from both sides -

5 + 5n - 2n - 5 = 21 + 2n - 2n - 5

And reduce to -

3n = 16

Now, divide both sides by 3 to reveal the number -

3n/3 = 16/3

n = 5 1/3

To verify, plug your number back into your original question (polynomial equation) -

(1 + n)5 = 21 + 2n

(1 + 5 1/3)5 = 21 + 2(5 1/3)

And solve -

(6 1/3)5 = 21 + 10 2/3

31 2/3 = 31 2/3

Answer 2

Step-by-step explanation:

2(5+x)= 16

10+2x=16

2x=16-10

2x=6

x=6/2

x=3

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