A= (a+b+c)h is the formula. I hope this is helpful for you. I am pretty positive it will help.
So we have the system of equations:
![7+2y=8x](https://tex.z-dn.net/?f=7%2B2y%3D8x)
equation (1)
![3x-2y=0](https://tex.z-dn.net/?f=3x-2y%3D0)
equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
![x](https://tex.z-dn.net/?f=x)
in equation (2):
![3x-2y=0](https://tex.z-dn.net/?f=3x-2y%3D0)
![3x=2y](https://tex.z-dn.net/?f=3x%3D2y)
![x= \frac{2}{3}y](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2%7D%7B3%7Dy%20)
equation (3)
Replacing equation (3) in equation (1):
![7+2y=8x](https://tex.z-dn.net/?f=7%2B2y%3D8x)
![7+2y=8( \frac{2}{3} y)](https://tex.z-dn.net/?f=7%2B2y%3D8%28%20%5Cfrac%7B2%7D%7B3%7D%20y%29)
![7+2y= \frac{16}{3} y](https://tex.z-dn.net/?f=7%2B2y%3D%20%5Cfrac%7B16%7D%7B3%7D%20y)
![7= \frac{10}{3} y](https://tex.z-dn.net/?f=7%3D%20%5Cfrac%7B10%7D%7B3%7D%20y)
![y= \frac{7}{ \frac{10}{3} }](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B7%7D%7B%20%5Cfrac%7B10%7D%7B3%7D%20%7D%20)
![y= \frac{21}{10}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B21%7D%7B10%7D%20)
equation (4)
Replacing equation (4) in equation (3):
![x= \frac{2}{3}y](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2%7D%7B3%7Dy%20)
![x=( \frac{2}{3} )( \frac{21}{10} )](https://tex.z-dn.net/?f=x%3D%28%20%5Cfrac%7B2%7D%7B3%7D%20%29%28%20%5Cfrac%7B21%7D%7B10%7D%20%29)
![x= \frac{7}{5}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B7%7D%7B5%7D%20)
We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>
Answer:
The newspaper has 1750 readers.
Step-by-step explanation:
Divide 70 by 2: 35.
Then, multiply 35 by 50 which is equal to 1750.
Answer:
(y - 1)(5y - 2)
Solution:
Factor:
2 - y(7 - 5y)
Apply the Distributive Property:
2 - 7y + 5y²
Reorder the expression:
5y² - 7y + 2
Rewrite the term:
5y² - 5y - 2y + 2
Regroup terms into two proportional parts:
(5y² - 5y) + ( -2y + 2)
Factor Greatest Common Factors out:
5y(y - 1) - 2(y - 1)
(y - 1)(5y - 2)