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anygoal [31]
4 years ago
5

Solve 5x + 4/y =7 and 4x + x/y =5 simultaneously.​

Mathematics
1 answer:
Nuetrik [128]4 years ago
5 0

9514 1404 393

Answer:

  (x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297)

Step-by-step explanation:

Solve the first equation for y, then substitute into the second.

  5x +4/y = 7

  4/y = 7 -5x

  4/(7 -5x) = y

Then the second equation becomes ...

  4x +x/(4/(7 -5x)) = 5

  4x +x(7 -5x)/4 = 5

  16x +7x -5x^2 = 20 . . . . . multiply by 4

  5x^2 -23x +20 = 0 . . . . . put in standard form

We can use the quadratic formula to solve this.

  x = (23±√((-23)² -4(5)(20)))/(2(5)) = (23±√129)/10

  x = 2.3 ±√1.29 ≈ {1.1642, 3.4358}

  y = 4/(7 -5x) = {3.3930, -0.39297}

Solutions are (x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297).

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3 years ago
Why aren’t credit cards included in m1 or m2 definition of money?
mel-nik [20]

Credit cards are not considered to be part in the m1 and m2 definition of money. Because the M1 definition of money revolves around money which are in the hands of the public and written checks, while the M2 definition of money revolves around savings accounts, time deposits of under $100,000, and balances in retail money market mutual funds. Which also includes the M1 in the M2. While, the M3 definition of money refers to the balances in institutional money funds, repurchase accountabilities dispensed by depository establishments, and the Eurodollar. It also includes M1 and M2. Credit cards are not considered to be in M1 and M2 definitions of money, since credit cards becomes part of the money transaction only, during the payment of your credit card bill. 

8 0
3 years ago
There are 60 cars in a used car lot.
PilotLPTM [1.2K]

Answer:

Honda made 32 cars

Step-by-step explanation:

Total no. of cars = 60

car made by ford = 3/10 of total no of cars

car made by ford = 3/10 of 60 = 3/10* 60 = 18

car made by General Motors = 1/6of total no of cars

car made by General Motors = 1/6 of 60 = 1/6* 60 = 10

No of cars made by Honda = Total no. of cars - car made by ford - car made by General Motors

No of cars made by Honda = 60 - 18 - 10 = 32

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3 years ago
Instructions
Anuta_ua [19.1K]

Step-by-step explanation:

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7 0
3 years ago
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