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VMariaS [17]
2 years ago
8

Simultaneous equations 2x+4y=1 3x+5y=7

Mathematics
1 answer:
leonid [27]2 years ago
3 0

Answer:

x = 11.5, y = -5.5.

As an ordered pair this is (11.5, -5.5).

Step-by-step explanation:

2x+4y=1               Multiply this by 3:

3x+5y=7               Multiply this by -2.

6x + 12y = 3

-6x - 10y = -14       Adding these 2 equations:

0 + 2y = -11.

y = -11/2

y = -5.5.

Now plug this into the first equation:

2x + 4(-5.5) = 1

2x = 1 + 22

x = 23/2

x = 11.5.

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<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

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<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

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                 Hence, the answer is:

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