if a x + B Y is equal to a square minus b square and b x + A Y is equal to zero find the value of x + Y ​

Question

if a x + B Y is equal to a square minus b square and b x + A Y is equal to zero find the value of x + Y

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Gerda 3 years 2021-08-09T16:06:36+00:00 1 Answers 17 views 0

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    2021-08-09T16:08:20+00:00

    9514 1404 393

    Answer:

      a-b

    Step-by-step explanation:

    Add the two equations together:

      (ax +by) +(bx +ay) = (a² -b²) +(0)

      x(a +b) +y(a +b) = (a +b)(a -b)

      x + y = a – b . . . . . divide by (a+b), assuming a+b ≠ 0

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