# Solve each of the following systems of equations by using the method of cross multiplication: ax – by = 2ab.

We have, …(i)

ax – by = 2ab …(ii)

By simplifying, we get

From equation (i), …(iii)

From equation (ii),

ax – by – 2ab = 0 …(iv)

From equation (iii), we get a1 = a/b, b1 = - b/a and c1 = - (a + b)

And from equation (iv), we get a2 = a, b2 = - b and c2 = - 2ab

Using cross multiplication,      and  and x = b and y = - a

Thus, x = b, y = - a

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