Find the values of x and y if (2x + y, 2) = (1, x - y).

We have, 2x+y=3 (1)

xy=1(2)

In equation (2), we get

y=

x

1

(3)

y put in the equation (1)

2x+

x

1

=3

2x

2

+1=3x

2x

2

−3x+1=0

2x

2

−3x−1x+1=0

2x(x−1)−1(x−1)=0

x=1, x=

2

1

We take the value of x=1

x value put in equation (1)

2(1)+y=3

y=3−2

y=1

x=1

x and y value put (x+y)

x−y

=(1+1)

(1−1)

=2

0

=1

Hence, this is the answer

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