Answer:
x = - 4
Step-by-step explanation:
First do distributive property
5x-15=10x+5
then add 15
5x=10x+20
-10x
-5x=20
divide 5
x=-4
Answer:
Equations:
--- Hot dog
--- Pretzel
Step-by-step explanation:
Represent hot dogs with H and Pretzels with P.
For Tina:
![4H + 3P = 13.75](https://tex.z-dn.net/?f=4H%20%2B%203P%20%3D%2013.75)
For Doug:
![2H + 5P = 11.25](https://tex.z-dn.net/?f=2H%20%2B%205P%20%3D%2011.25)
Solving for the price of both items:
We have:
--- (1)
--- (2)
Multiply (2) by 2
2 * (
)
-------------------
--- (3)
Subtract (3) from (1)
![4H + 3P = 13.75](https://tex.z-dn.net/?f=4H%20%2B%203P%20%3D%2013.75)
![4H + 10P = 22.50](https://tex.z-dn.net/?f=4H%20%2B%2010P%20%3D%2022.50)
----------------------
![4H - 4H + 3P - 10P = 13.75 - 22.50](https://tex.z-dn.net/?f=4H%20-%204H%20%2B%203P%20-%2010P%20%3D%2013.75%20-%2022.50)
![3P - 10P = 13.75 - 22.50](https://tex.z-dn.net/?f=3P%20-%2010P%20%3D%2013.75%20-%2022.50)
![-7P = -8.75](https://tex.z-dn.net/?f=-7P%20%3D%20-8.75)
Solve for P
![P = \frac{-8.75}{-7}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B-8.75%7D%7B-7%7D)
![P = 1.25](https://tex.z-dn.net/?f=P%20%3D%201.25)
Substitute 1.25 for P in (2)
![2H + 5P = 11.25](https://tex.z-dn.net/?f=2H%20%2B%205P%20%3D%2011.25)
![2H + 5 * 1.25 = 11.25](https://tex.z-dn.net/?f=2H%20%2B%205%20%2A%201.25%20%3D%2011.25)
![2H + 6.25 = 11.25](https://tex.z-dn.net/?f=2H%20%2B%206.25%20%3D%2011.25)
Collect Like Terms
![2H = 11.25-6.25](https://tex.z-dn.net/?f=2H%20%3D%2011.25-6.25)
![2H = 5](https://tex.z-dn.net/?f=2H%20%3D%205)
Solve for H
![H = \frac{5}{2}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B5%7D%7B2%7D)
![H = 2.50](https://tex.z-dn.net/?f=H%20%3D%202.50)
Answer:
YEET
Step-by-step explanation:
The slope can be found by using the equation y2-y1 over x2-x1
2-2 over -3-1
= 0 over -4
your slope is 0