Answer:
![\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20-%5Cdfrac%7B4%7D%7B25%7D%2C%20-%5Cdfrac%7B98%7D%7B25%7D%20%5Cright%29)
Step-by-step explanation:
![x+2y=-8 \\\\y=12x-2](https://tex.z-dn.net/?f=x%2B2y%3D-8%20%5C%5C%5C%5Cy%3D12x-2)
Substitute:
![x+2(12x-2)=-8](https://tex.z-dn.net/?f=x%2B2%2812x-2%29%3D-8)
Expand:
![x+24x-4=-8](https://tex.z-dn.net/?f=x%2B24x-4%3D-8)
Simplify:
![25x=-4](https://tex.z-dn.net/?f=25x%3D-4)
Divide both sides by 25:
![x=-\dfrac{4}{25}](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B4%7D%7B25%7D)
Plug this back into one of the original equations to find y:
![-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}](https://tex.z-dn.net/?f=-%5Cdfrac%7B4%7D%7B25%7D%2B2y%3D-8%20%5C%5C%5C%5C%5C%5C2y%3D-7%20%5Cdfrac%7B21%7D%7B25%7D%3D-%5Cdfrac%7B196%7D%7B25%7D%20%5C%5C%5C%5C%5C%5Cy%3D-%5Cdfrac%7B98%7D%7B25%7D)
The ordered pair that represents this solution is therefore:
![\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20-%5Cdfrac%7B4%7D%7B25%7D%2C%20-%5Cdfrac%7B98%7D%7B25%7D%20%5Cright%29)
Hope this helps!
Answer:
Question 3:
51/16
As a mixed number =
3 3/16
Step by step explanation:
You have to convert the fraction into improper fractions so 8 ½ = 17/2
and 2⅔ = 8/3
then you do 17/2 ÷ 8/3 which =
51/16 theb turn this number into a mixed number which is
3 3/16
1. Multiply the length, width, and height to get the volume of the box, which is 24 ft³. 2. Each cube has a volume of 4, right? So divide 24 by 4 to get 6. 6 boxes can fit into the crate.