27x÷81(x+2y)=9<br><br>(27)x=9×81(x+2y)<br><br>(33)x=32×34(x+2y)<br><br>=3(2+4x+8y)<br><br>33x=3(2+4x+8y)<br><br>3x=2+4x+8y<br><br>3x−4x−8y=2………(1)<br><br>x+4y=0………(2)<br><br>−4y=2<br><br>y=(−2)÷4=−½<br><br>y=−½Substitute the value of y into equation (2)i.e x + 4y = 0x + 4( − 1/2) = 0x − 2 = 0x = 2∴ x = 2,y = − ½)Method II27x÷31(x+2y)=9<br><br>33x×3(−4x−8y)=32<br><br>3(3x−8y)=32<br><br>−x−8y=2………(1)<br><br>x+4y=0………(2)<br><br>−4=2<br><br>y=2/4=½<br><br>y=½Substitute the value of y into equation 2x + 4y=0x + 4 (− 1) ÷ 2) = 0x − 2 = 0x = 2x = 2, y = ½