Question 34

If 7x - 5y = 20 and 12x + 5y = 75, what is the value of xy?

Solution

7x - 5y = 20 ---(1)

12x + 5y = 75 ---(2)

Eq(1) + (2),

19x =95

x = 5

From eq(1),

7$$\times$$5 - 5y = 20

5y = 15

y = 3

xy = 5 $$\times$$ 3 = 15

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