Question

$2x + 3y = 2 \\ x - \frac{y}{2} = \frac{1}{2}$
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Answer 1

2x+3y=2...(1)

x-y/2=1/2

multiply both sides by 2

2x-y=1...(2)

subtracting equation 2 from 1

2x+3y=2

-2x-y=1

________

4y=1

y=1/4

substituting y=1/4 in equation 2

2x-1/4=1

8x-1=4

x=5/8
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Answer 2

x -y/2 =1/2........equation (1)

2x + 3y = 2 .............equation (2)

equation (1)

x = 1/2 + y/2

x = 1+y/2.....................equation (3)

put the value of equation (1)

2 x 1+y/2 +3y=2

1+y +3y =2

4y=2-1

4y = 1

y = 1/4..

Put the value of ( y=1/4) in equation (3)

x= 5/8

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