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Vlada [557]
3 years ago
15

2x+y=10x-4y i dont know

Mathematics
2 answers:
Basile [38]3 years ago
7 0

Step-by-step explanation:

2x-10x= -4y-y

-8x= -5y

cancel (-) on both sides we get

8x=4y

Tcecarenko [31]3 years ago
4 0
0= 10x-2x-4y-y
0= 8x-5y
-8x=-5y
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2 years ago
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
zheka24 [161]
<h2>Hello!</h2>

The answer is:

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<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

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x_{FirstCar}=x_o+v*t

For the second car:

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x_{SecondCar}=x_o+(v+14mph)*t

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RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we  have:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation, we have:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

We have that the speed of the first car is equal to 41 mph.

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Hence, we have that:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

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