(iv) 8y = x –
10; 2x = 3y + 7
Sol. 8y = x – 10
∴ – x + 8y = – 10
Comparing with a1x + b1y = c1 we get, a1 = – 1, b1 = 8, c1 = – 10
2x = 3y + 7
∴ 2x – 3y = 7
Comparing with a2x
+ b2y
= c2
we
get, a2
=
2, b2
=
– 3, c2
=
7
a1/a2
= -1/2 = -1/2 ............ eq. no. (i)
b1/b2
= 8/-3 = -8/3 ............ eq. no. (ii)
c1/c2
= -10/7 = -10/7 ............ eq. no. (iii)
From
Equation (i) , (ii) and (iii) we get
a1/a2
≠ b1/b2
∴
Unique solution.
