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

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

**1**x + b

**1**y = c

**1**we get, a

**1**= 3, b

**1**= 2, c

**1**= 24

**2**x + b

**2**y = c

**2**we get, a

**2**= 3, b

**2**= 2, c

**2**= 24

_{1}/a

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

_{1}/b

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

_{1}/c

_{2}= 3/3 = 1 ............ eq. no. (iii)

_{1}/a

_{2}= b

_{1}/b

_{2}= c

_{1}/c

_{2}

**∴ Infinitely Many Solutions.**