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