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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Answer 1

9514 1404 393

Answer:

a-b

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