Answer:
Step-by-step explanation:
Answer:
your mom
Step-by-step explanation:
Answer: (D) ![\frac{y-x}{y+x}](https://tex.z-dn.net/?f=%5Cfrac%7By-x%7D%7By%2Bx%7D)
Explanation:
![\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}=\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}=\frac{y-x}{y+x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7Bx%7D-%5Cfrac%7B1%7D%7By%7D%7D%7B%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7By%7D%7D%3D%5Cfrac%7B%5Cfrac%7By-x%7D%7Bxy%7D%7D%7B%5Cfrac%7By%2Bx%7D%7Bxy%7D%7D%3D%5Cfrac%7By-x%7D%7By%2Bx%7D)
Just a note on writing down these expressions: I recommend using parentheses whenever you can to avoid misinterpretation. An expression 1/x-1/y / 1/x+1/y could be interpreted by someone as 1/x-(1/y / 1/x)+1/y, which is a different thing.
The system of equations according to the given information is the following:
x=7+y
3x+2y=96
There are multiple ways to solve this, but using addition is probably the fastest. Rearrange the equations into corresponding formats like this:
x-y=7
3x+2y=96
Then match the coefficients of one of the variables:
2x-2y=14
3x+2y=96
Then add the two equations together to find x:
5x=110
x=22 cars
So Leonard has 22 cars, and since he has seven more cars than Liam, Liam has 15 cars.