36.3 is your Answer because my brother had this exact same problem I hope I helped
Answer:
B. ![\dfrac{1}{3}x-\dfrac{1}{4}y-\dfrac{4}{5}+\dfrac{1}{3}x-\dfrac{1}{4}y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B4%7D%7B5%7D%2B%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B4%7Dy)
Step-by-step explanation:
Consider all options:
A. In the expression
![\dfrac{1}{3}x-\dfrac{1}{4}y-\dfrac{4}{5}+\dfrac{1}{3}x+\dfrac{1}{4}y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B4%7D%7B5%7D%2B%5Cdfrac%7B1%7D%7B3%7Dx%2B%5Cdfrac%7B1%7D%7B4%7Dy)
combine the like terms:
![\left(\dfrac{1}{3}x+\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y+\dfrac{1}{4}y\right)-\dfrac{4}{5}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx%2B%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%2B%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7Dy%2B%5Cdfrac%7B1%7D%7B4%7Dy%5Cright%29-%5Cdfrac%7B4%7D%7B5%7D)
Use distributive property:
![x\left(\dfrac{1}{3}+\dfrac{1}{3}\right)+y\left(-\dfrac{1}{4}+\dfrac{1}{4}\right)-\dfrac{4}{5}=\dfrac{2}{3}x-\dfrac{4}{5}](https://tex.z-dn.net/?f=x%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%2By%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7D%2B%5Cdfrac%7B1%7D%7B4%7D%5Cright%29-%5Cdfrac%7B4%7D%7B5%7D%3D%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B4%7D%7B5%7D)
This option is false.
2. In the expression
![\dfrac{1}{3}x-\dfrac{1}{4}y-\dfrac{4}{5}+\dfrac{1}{3}x-\dfrac{1}{4}y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B4%7D%7B5%7D%2B%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B4%7Dy)
combine the like terms:
![\left(\dfrac{1}{3}x+\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y-\dfrac{1}{4}y\right)-\dfrac{4}{5}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx%2B%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%2B%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B1%7D%7B4%7Dy%5Cright%29-%5Cdfrac%7B4%7D%7B5%7D)
Use distributive property:
![x\left(\dfrac{1}{3}+\dfrac{1}{3}\right)+y\left(-\dfrac{1}{4}-\dfrac{1}{4}\right)-\dfrac{4}{5}=\dfrac{2}{3}x-\dfrac{1}{2}y-\dfrac{4}{5}](https://tex.z-dn.net/?f=x%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%2By%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7D%5Cright%29-%5Cdfrac%7B4%7D%7B5%7D%3D%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B2%7Dy-%5Cdfrac%7B4%7D%7B5%7D)
This option is true.
3. In the expression
![\dfrac{1}{3}x-\dfrac{1}{4}y-\dfrac{1}{5}-\dfrac{1}{3}x-\dfrac{3}{5}-\dfrac{1}{4}y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B1%7D%7B5%7D-%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B3%7D%7B5%7D-%5Cdfrac%7B1%7D%7B4%7Dy)
combine the like terms:
![\left(\dfrac{1}{3}x-\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y-\dfrac{1}{4}y\right)+\left(-\dfrac{1}{5}-\dfrac{3}{5}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%2B%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B1%7D%7B4%7Dy%5Cright%29%2B%5Cleft%28-%5Cdfrac%7B1%7D%7B5%7D-%5Cdfrac%7B3%7D%7B5%7D%5Cright%29)
Use distributive property:
![x\left(\dfrac{1}{3}-\dfrac{1}{3}\right)+y\left(-\dfrac{1}{4}-\dfrac{1}{4}\right)-\dfrac{4}{5}=-\dfrac{1}{2}y-\dfrac{4}{5}](https://tex.z-dn.net/?f=x%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D-%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%2By%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7D%5Cright%29-%5Cdfrac%7B4%7D%7B5%7D%3D-%5Cdfrac%7B1%7D%7B2%7Dy-%5Cdfrac%7B4%7D%7B5%7D)
This option is false.
4. In the expression
![\dfrac{1}{3}x-\dfrac{1}{4}y+\dfrac{2}{5}+\dfrac{1}{3}x-\dfrac{2}{5}-\dfrac{1}{4}y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B4%7Dy%2B%5Cdfrac%7B2%7D%7B5%7D%2B%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac%7B2%7D%7B5%7D-%5Cdfrac%7B1%7D%7B4%7Dy)
combine the like terms:
![\left(\dfrac{1}{3}x+\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y-\dfrac{1}{4}y\right)+\left(\dfrac{2}{5}-\dfrac{2}{5}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx%2B%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%2B%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B1%7D%7B4%7Dy%5Cright%29%2B%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D-%5Cdfrac%7B2%7D%7B5%7D%5Cright%29)
Use distributive property:
![x\left(\dfrac{1}{3}+\dfrac{1}{3}\right)+y\left(-\dfrac{1}{4}-\dfrac{1}{4}\right)=\dfrac{2}{3}x-\dfrac{1}{2}y](https://tex.z-dn.net/?f=x%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%2By%5Cleft%28-%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7D%5Cright%29%3D%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B2%7Dy)
This option is false.
The answer is 11/4 i hope this helps
Answer:
Step-by-step explanation:
4x-2y=3
Get into y=mx+b
-4x on each side
Then divide by -2
y=2x- 1.5
Now if a line is parallel to another line the slope will be the same. If perpendicular the slope will be the negative reciprocal. As you said it is parallel the slope is 2.
y = mx+b
y = (slope)x + y-intercept
y= 2x + 1
Sorry if it is wrong but I hope it is right