Question

A teacher asks all the students in her class to write down an algebraic expression.
Julie writes down this expression:
4n − 5
The expression that Jim writes down is:
2n + 14
What value of n makes the value of Julie’s expression equal to the value of Jim’s
expression?

Answer 1

Answer:

n=9.5

Step-by-step explanation:

You first have to set the equations equal to each other:

4n-5=2n+14

You then have to get the n on the same side:

2n-5=14

Then you solve like a normal equation by adding the 5 to the 14:

2n=19

Then you divide to get:

n=19/2

or

n=9 1/2

or

n=9.5

(all are equivalent, just up to you for which form)

Answer 2

Answer:

4n-5=2n+14

4n-5=2n+14 then we take the -5 to the other side and it becomes +5

4n=2n+14+5 since we brought a number to a group we take 2n to the other group and it becomes -2n

4n-2n=14+5

we then simplify

2n=19

we further simplify

n=9.5 and that is our answer

Step-by-step explanation: