If x + y = a + b and ax - by = a^2 - b^2, then y is: – Algebra

Algebrahard · Past Paper

If x + y = a + b and ax - by = a^2 - b^2, then y is:

C-b

✓ Correct Answer: B — b

From first, x = a+b-y. Substitute: a(a+b-y) - by = a^2 - b^2 -> a^2+ab-ay-by = a^2-b^2 -> ab+b^2 = (a+b)y -> b(a+b) = (a+b)y -> y=b.

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