So you have:
![\frac{3}{x} + 2 = \frac{2}{x} - 1 ](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%7D%20%2B%202%20%20%3D%20%20%5Cfrac%7B2%7D%7Bx%7D%20-%201%0A%20)
1) Start off by multiplying both sides by x to simplify the problem:
![\frac{3}{x} + 2 = \frac{2}{x} - 1 \\ x(\frac{3}{x} + 2) = (\frac{2}{x} - 1)x\\ 3 + 2x = 2 - x ](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%7D%20%2B%202%20%3D%20%5Cfrac%7B2%7D%7Bx%7D%20-%201%20%5C%5C%0Ax%28%5Cfrac%7B3%7D%7Bx%7D%20%2B%202%29%20%3D%20%28%5Cfrac%7B2%7D%7Bx%7D%20-%201%29x%5C%5C%0A3%20%2B%202x%20%3D%202%20-%20x%0A)
2) Now isolate the x by moving all terms with x onto one side and all other terms onto the other side:
![3 + 2x = 2 - x\\ 3x = -1](https://tex.z-dn.net/?f=3%20%2B%202x%20%3D%202%20-%20x%5C%5C%0A3x%20%3D%20-1)
3) Finally, divide by 3 on both sides to find the value of x:
![3x = -1\\ x = \frac{-1}{3}](https://tex.z-dn.net/?f=3x%20%3D%20-1%5C%5C%0Ax%20%3D%20%20%5Cfrac%7B-1%7D%7B3%7D%20)
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Answer: x =
Subtract the faster speed:
721.6 - 8.4 = 713.2
Divide by 2 trains:
713.2/2 = 356.6
The slower train is going 356.6 miles per hour.
The faster train is going 356.6 + 8.4 = 365 miles per hour.
Answer:
2/7
Step-by-step explanation:
12 : 42 is the same as 12/42
simplify the fraction by dividing the numerator and denominator by 6
you get 2/7
Yes, it's y= 1/2x because it's 1/2 miles (y) per x weeks