Answer:
14
Step-by-step explanation:
Note that if we add each side of the 2 equations, y will cancel out:
-12x-y+(17x+y)=6+4
5x=10
x=2
Substituting x=2 in either of the equations, we find the value of y.
Let's use the first equation:
-12x-y=6
-24-y=6
-y=24+6
-y=30, so y=-30.
Thus, the solution is (2, -30)
Answer: C
Given:
Total Yogurt =
cups
Yogurt required for each smoothie =
cup
To find:
The number of smoothies that Paisley can make with the yogurt.
Solution:
We know that,
![\text{Number of smoothies}=\dfrac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20smoothies%7D%3D%5Cdfrac%7B%5Ctext%7BTotal%20yogurt%7D%7D%7B%5Ctext%7BYogurt%20required%20for%20each%20smoothie%7D%7D)
Substituting the given values, we get
![\text{Number of smoothies}=\dfrac{8\dfrac{1}{4}}{\dfrac{11}{16}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20smoothies%7D%3D%5Cdfrac%7B8%5Cdfrac%7B1%7D%7B4%7D%7D%7B%5Cdfrac%7B11%7D%7B16%7D%7D)
![\text{Number of smoothies}=8\dfrac{1}{4}\times \dfrac{16}{11}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20smoothies%7D%3D8%5Cdfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B16%7D%7B11%7D)
![\text{Number of smoothies}=\dfrac{32+1}{4}\times \dfrac{16}{11}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20smoothies%7D%3D%5Cdfrac%7B32%2B1%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B16%7D%7B11%7D)
![\text{Number of smoothies}=\dfrac{33}{4}\times \dfrac{16}{11}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20smoothies%7D%3D%5Cdfrac%7B33%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B16%7D%7B11%7D)
![\text{Number of smoothies}=3\times 4](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20smoothies%7D%3D3%5Ctimes%204)
![\text{Number of smoothies}=12](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20smoothies%7D%3D12)
Therefore, the number of smoothies is 12.
Are you looking for y and if so y=80
Answer:
y=-5x-13
Step-by-step explanation:
use y-y1=m(x-x1)
y+8=-5(x+1)
y+8=-5x-5
subtract 8 from both sides
y=-5x-13