Question

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

Answer 1

Use elimination

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

3x=3

X=1. Plug back into one of the equations.

1-y=2. Isolate y.

Y=-1

The Answer is (1,-1)

Answer 2

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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