# If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of

| If (x/a) + (y/b) = 3 and (x/b) – (y/a) = 9, then what is the value of x/y?

A. (b + 3 a)/(a – 3 b)

B. (a + 3 b)/(b – 3 a)

C. (1 + 3 a)/(a + 3 b)

D. (a + 3 b^{2})/(b – 3 a^{2})

### Right Answer is: A

#### SOLUTION

bx + ay=3ab—————eq 1

ax-by=9ab ——————-eq 2

divide eq 1 by eq 2

3bx+3ay=ax-by

X(a- 3b) = y(b+3a)

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