Question

If 4^x.2^y=128 and 3^(3x+2y)=9^xy,find the value of x and y.

Answer 1

3x+2y=985,—(¹)

3x-2y=473 —(²)

Adding ¹and ²-

6x=1458

X=243,putting in (¹) we get

3(243) +2y=985

Y=985–729÷2=128

Xy=243*128=31104.

Answer 2

3x+2y=985,—(¹)

3x-2y=473 —(²)

Adding ¹and ²-

6x=1458

X=243,putting in (¹) we get

3(243) +2y=985

Y=985–729÷2=128

Xy=243*128=31104.