Solve the linear equations
2/3x +3/4y = 1/12 and 3x/4y- 2/3y = -1/2
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2/3x +3/4y=1/12
(8x+9y)/12=1/12
8x+9y=1......................(1)
now
3x/4y-2/3y = -1/2
(9x-8)/12y =-1/2
9x-8=-6y
9x +6y =8......................(2)
on multiplying (1) with 9 and (2)
with 8, we get
72x +81y =9.............(3)
72x +48y=64.............(4)
on subtracting (4) from (3)
we get ;
33y=-55
y=-55/33
y =-5/3
put value of y in (1)
8x+9×(-5/3)=1
8x -15=1
8x =14
x=14/8
x=7/4
Hence , x=7/4 and y=-5/3.
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