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2 years ago

Explain your answer !! Have a nice day Will give braisnlt

Mathematics

2 answers:

yan [13]2 years ago

8 0

Answer: x=3, y=4

Step-by-step explanation:

We are going to use the elimination method to solve this since the x values have inverse of each other. We are going to add the 2nd equation to the 1st and we will get: y=-4 then plug y=-4 into one of the equations, then solve for x. 4(x)+5(-4)=-8, 4x-20=-8, 4x=12, x=3. So x=3, y=4

nikdorinn [45]2 years ago

3 0

Answer: x=3, y=-4

Step-by-step explanation:

First, get either the x or the y variable by itself using one of the given equations:

-4x-4y=4

-4y=4+4x

y=-(4+4x)/4

y=-1-x

Then plug this into all the y variable in the other equation to find x:

4x+5(-1-x)=-8

4x-5-5x=-8

-1x-5=-8

-x=-3

x=3

Then plug this into ever x of one of the equations to find y:

4(3)+5y=-8

12+5y=-8

5y=-20

y=-4

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Answer:

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Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

$F + E = 30\\$

We also know that:

$E = 3F$

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

$F + 3F = 30\\F = 30/4\\F = 7.5 miles\\$

Then $E = 7.5*3 = 22.5$ miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train ( $V_{E}$ ) is the distance traveled between the time it did

$V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute$

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