The sum of 5 times a number and -8:
5x - 8 = y
First we distribute
![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20)
into
![n](https://tex.z-dn.net/?f=n)
and
![-\frac{1}{7}](https://tex.z-dn.net/?f=%20-%5Cfrac%7B1%7D%7B7%7D)
.
![\frac{1}{5} * n = \frac{1}{5} n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%2A%20n%20%3D%20%20%5Cfrac%7B1%7D%7B5%7D%20n%20)
![\frac{1}{5} * -\frac{1}{7} = - \frac{1}{35}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20%2A%20%20-%5Cfrac%7B1%7D%7B7%7D%20%20%3D%20-%20%5Cfrac%7B1%7D%7B35%7D%20)
That makes the left side of the equation
![\frac{1}{5} n - \frac{1}{35} = \frac{1}{6} n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20n%20-%20%20%5Cfrac%7B1%7D%7B35%7D%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20n)
Now we subtract
![\frac{1}{5}n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7Dn)
from
![\frac{1}{6} n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20n)
, which makes
![\frac{1}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B30%7D%20)
Now the equation is
![-\frac{1}{35} = -\frac{1}{30n}](https://tex.z-dn.net/?f=%20-%5Cfrac%7B1%7D%7B35%7D%20%3D%20%20-%5Cfrac%7B1%7D%7B30n%7D%20)
Our goal is to isolate
![n](https://tex.z-dn.net/?f=n)
, so we both sides by 30
That will make the equation
![- \frac{30}{35} = -n](https://tex.z-dn.net/?f=-%20%5Cfrac%7B30%7D%7B35%7D%20%3D%20-n)
We multiply -1 on both sides of the equation:
![\frac{30}{35} = n](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B35%7D%20%3D%20n)
Finally we simplify
![\frac{30}{35}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B35%7D%20)
, which makes
So the answer is
Answer:
between 10 and 22
Step-by-step explanation:
A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.
Difference: 16 - 6 = 10
Sum: 6 + 16 = 22
Answer: between 10 and 22
Answer:
+10
Step-by-step explanation: