Solve the following pairs of linear equations:

x ≠ 1, y ≠ 1

Putting these value in given equations, we get

4a + 5b = 2, 8a + 15b = 3

So, the given equations transforms into linear equation in two variables i.e.

4a + 5b = 2 … (i)

8a + 15b = 3 …..(ii)

Multiply equation (i) by 2, so

8a + 10b = 4 … (iii)

8a + 15b = 3 …..(ii)

Subtract (iii) from (ii),

8a + 15b – 8a – 10b = 3 – 4

⇒ 5b = – 1

Putting above value in (i),

⇒ 4a = 2 + 1

⇒ – y + 1 = 5

⇒ y = – 4