The number of solutions of the system of equations is 904 086
D. X = 8 , Y = 6
3x - 14 = x + 23x - x = 2 + 142x = 162x / 2 = 16/2x = 8
To check: 3x - 14 = x + 2 ; 3(8) - 14 = 8 + 2 ; 24 - 14 = 10 ; 10 = 10
4y - 7 = y + 114y - y = 11 + 73y = 183y / 3 = 18 / 3y = 6
To check: 4y - 7 = y + 11 ; 4(6) - 7 = 6 + 11 ; 24 - 7 = 17 ; 17 = 17
hopes it helps:)
Answer:
![x=7](https://tex.z-dn.net/?f=x%3D7)
Step-by-step explanation:
Hi there!
![-2^2(-5x+10)=100](https://tex.z-dn.net/?f=-2%5E2%28-5x%2B10%29%3D100)
Solve -2^2:
![-4(-5x+10)=100](https://tex.z-dn.net/?f=-4%28-5x%2B10%29%3D100)
Divide both sides by -4:
![\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%20-4%28-5x%2B10%29%7D%7B-4%7D%3D%5Cfrac%7B100%7D%7B-4%7D%20%5C%5C%5C%5C-5x%2B10%3D-25)
Subtract 10 from both sides:
![-5x+10-10=-25-10\\-5x=-35](https://tex.z-dn.net/?f=-5x%2B10-10%3D-25-10%5C%5C-5x%3D-35)
Divide both sides by -5:
![\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-5x%7D%7B-5%7D%20%3D%20%5Cfrac%7B-35%7D%7B-5%7D%20%5C%5C%5C%5Cx%3D7)
Therefore, x = 7.
I hope this helps!
Answer:
1, 2, 4, 8, 16, and 32
Step-by-step explanation:
Answer:
11 bottles
Step-by-step explanation:
make a proportion because if you're using the same rate proportions can show that it's equal
![\frac{7}{90} = \frac{x}{140}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B90%7D%20%3D%20%5Cfrac%7Bx%7D%7B140%7D)
cross multiply
![7 *140](https://tex.z-dn.net/?f=7%20%2A140)
![= 980](https://tex.z-dn.net/?f=%3D%20980)
divide the answer by 90 to find x
![980/90= 10.8](https://tex.z-dn.net/?f=980%2F90%3D%2010.8)
round to 11 because you can't have 10.8 bottles