EXERCISE - 4.3m to a pair of limesSolve each of the following pairs of

1.	EXERCISE - 4.3m to a pair of limesSolve each of the following pairs of equations by reducing them to a pair ofx+y = 2XY*)=6iv)6x+3y=6xy492x + 4y= 5xy52V)x+yX-Y+//Free Distribution by AB
Answer» 1/ x-1=k, 1/ y-2=a; 5k+ a=2_(1), 6k-3a=1; 3(5k+a=2); 15k+3a=6/9k=5; k=5/9; 6k-3a=1; 5(5/9)+a=2; 25/9+a=2; a=2+25/9= 18+25/9=43/9; 1/x-1=5/9; 1/x=5/9+1=5+9/9=14/9; x=9/14;; 1/y-2=43/9; y-2=9/43; y=9/43+2= 9+86/43=95/43 x+y= 2xy ----(1)x-y= 6xy -----(2)2x= 8xy1= 4yy= 1/4putting the value of y in eq 1x+y= 2xyx+1/4= 2x×1/44x+1/4= 2x/44x+1=2x4x-2x= -12x= -1x= -1/2 iv) 6x + 3y =6xy; 2x+4y=5xy; 4( 6x + 3y =6xy)= 24x +12y=24xy; 3(2x + 4y =5xy); 6x +12y = 15 xy;; 24x+12y =24 xy; __________________ 18x=9xy; y=18x/9x=2; 6x + 3y=6xy; 6x+3(2)=6xy; 6x+6=6(2)x; 6x+6=12x; 6x=12x/6=2x; 6x-2x=4x; x=1/4 1/Vx=a; 1/Vy=k; 2a+3k=2; 4a-9k=-1; 2(2a+3k=2); 4a+6k=4 /3k=3; k =3/3=1; 4a-9(1)=-1; 4a=-1+9; 4a=8; a =8/4=2; 1/Vx=1/1; 1/Vy=1/2

EXERCISE - 4.3m to a pair of limesSolve each of the following pairs of equations by reducing them to a pair ofx+y = 2XY*)=6iv)6x+3y=6xy492x + 4y= 5xy52V)x+yX-Y+//Free Distribution by AB

Answer»

1/ x-1=k, 1/ y-2=a; 5k+ a=2_(1), 6k-3a=1; 3(5k+a=2); 15k+3a=6/9k=5; k=5/9; 6k-3a=1; 5(5/9)+a=2; 25/9+a=2; a=2+25/9= 18+25/9=43/9; 1/x-1=5/9; 1/x=5/9+1=5+9/9=14/9; x=9/14;; 1/y-2=43/9; y-2=9/43; y=9/43+2= 9+86/43=95/43

x+y= 2xy ----(1)x-y= 6xy -----(2)2x= 8xy1= 4yy= 1/4putting the value of y in eq 1x+y= 2xyx+1/4= 2x×1/44x+1/4= 2x/44x+1=2x4x-2x= -12x= -1x= -1/2

iv) 6x + 3y =6xy; 2x+4y=5xy; 4( 6x + 3y =6xy)= 24x +12y=24xy; 3(2x + 4y =5xy); 6x +12y = 15 xy;; 24x+12y =24 xy; __________________ 18x=9xy; y=18x/9x=2; 6x + 3y=6xy; 6x+3(2)=6xy; 6x+6=6(2)x; 6x+6=12x; 6x=12x/6=2x; 6x-2x=4x; x=1/4

1/Vx=a; 1/Vy=k; 2a+3k=2; 4a-9k=-1; 2(2a+3k=2); 4a+6k=4 /3k=3; k =3/3=1; 4a-9(1)=-1; 4a=-1+9; 4a=8; a =8/4=2; 1/Vx=1/1; 1/Vy=1/2

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