2x +3y = 2 ; x - y/2 = 1/2
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2x+3y=2---------(1)
x-y/2=1/2
=>(2x-y)/2=1/2
=>2x-y=2/2
=>2x-y=1---------(2)
or,
2x=1+y
x=(1+y)/2
putting the value of x in eqn(1):-
2{(1+y)/2}+3y=2
=>1+y+3y=2
=>1+4y=2
=>4y=2-1
=>4y=1
=>y=1/4
putting the value of y in eq(1):-
2x+3y=2
=>2x+3(1/4)=2
=>2x+3/4=2
=>2x=2-3/4
=>2x=(8-3)/4
=>2x=5/4
=>x=5/8
hence,x=5/8 and y=1/4
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