Question

1/2(2x+3y)+12/7(3x-2y)=1/2,7/2x+3y+4/3x-2y=2​

Answer 1

put 2x+3y=m, 3x-2y=n 1/2m + 12/7n= 1/2 and 7/m +4/n =2 

simply fly you may put 1/m=k and 1/n=l k/2+12l/7=1/2 7k+24l=7 ----(1) 7k+4l=2 ---(2) 

7k+24l=7---(1) 
7k+4l=2----(2) 
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20l=5 l=1/4 k=1/7 
m=7, n=4 

2x+3y=7 ---(3) 3x-2y=4-----(4) 
2x+3y=7 ---(3)x2 
3x-2y =4---(4)x3 

4x+6y=14----(5) 
9x-6y= 12----(6) 
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13x = 26 x=2 y=1