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Marianna [84]
3 years ago
5

Find the ordered pair (x,y) that satisfies the system of equations x + y = 15 x - y = 3.

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

Answer:

(9, 6)

Step-by-step explanation:

add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18

isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9

substitute 9 in x's place in one of the equations: 9 + y = 15

solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6

combine x and y coordinates together: (9, 6)

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<h3>How to determine the distance between the two points?</h3>

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This can be rewritten as

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The distance between the endpoints of the segment is then calculated using the following distance formula

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