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sergey [27]
3 years ago
14

Someone please help and show your work too

Mathematics
1 answer:
fomenos3 years ago
4 0

The correct answer is (7, 9)

Firstly we know that each point is 6 away from the other in terms of x and in terms of y. Now we also know that for every 6, we will be one away from point B and five away from point A. We know this because the ratio is AB 5:1, meaning that the 5 is on the A side (they both come first).

So, we can just add 5 to each of the A value numbers to get point P.

A = (2, 4)

P = (2+5, 4+5)

P = (7, 9)

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svetoff [14.1K]
<h2>Ordered triple are (4,-2,1)</h2>

Step-by-step explanation:

We need to find ordered triple of  2x + 5y - 3z = -5 , 3x + 2y + 7z = 15 and 5x - 4y + 6z = 34

     2x + 5y - 3z = -5 -------------------------eqn 1

     3x + 2y + 7z = 15 -------------------------eqn 2

     5x - 4y + 6z = 34 -------------------------eqn 3

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eqn 4 - eqn 3

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eqn 1 x 3

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eqn 7 - eqn 6

     -11y + 23z = 45 -------------------------eqn 8

eqn 5 + eqn 8

           21 z = 21

                z = 1

Substituting in eqn 8

       -11y + 23 x 1 = 45

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              y = -2

Substituting in eqn 1

        2x + 5 x -2 - 3 x 1 = -5

        2x = 8

          x = 4

Ordered triple are (4,-2,1)

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