Solve each of the following systems of equations by using the method of cross multiplication: 6x – 5y – 16 = 0, 7x – 13y + 10 = 0.

Question

Philoid · Accepted Answer

We have,

6x – 5y – 16 = 0 …(i)

7x – 13y + 10 = 0 …(ii)

From equation (i), we get a₁ = 6, b₁ = - 5 and c₁ = - 16

And from equation (ii), we get a₂ = 7, b₂ = - 13 and c₂ = 10

Using cross multiplication,

⇒

⇒ and

⇒ x = 6 and y = 4

Thus, x = 6, y = 4