**(vi) x/2 + y/3 = 4; x/4 + y/6 = 2**

**Sol.**x/2 + y/3 = 4

Multiplying the equation with 6, we get

3x
+ 2y = 24

Comparing with
a

**1**x + b**1**y = c**1**we get, a**1**= 3, b**1**= 2, c**1**= 24
x/4 + y/6 = 2

Multiplying the equation with 12, we get

3x
+ 2y = 24

Comparing with
a

**2**x + b**2**y = c**2**we get, a**2**= 3, b**2**= 2, c**2**= 24
a

_{1}/a_{2}= 3/3 = 1 ............ eq. no. (i)
b

_{1}/b_{2}= 3/3 = 1 ............ eq. no. (ii)
c

_{1}/c_{2}= 3/3 = 1 ............ eq. no. (iii)
From
Equation (i) , (ii) and (iii) we get

a

_{1}/a_{2}= b_{1}/b_{2}= c_{1}/c_{2}

**∴ Infinitely Many Solutions.**