Line R is represented by the following equation: x + y = 2

There are many such equations. For example, x - y = 0.

If it is not the answer you need, please tell me.

2x + y = 2

4x − 2y = 2

2x − 2y = 2

x + y = 4

:))

The only variant which is satisfied by x=y=1 is the second (4x - 2y = 2). It is also not equivalent to x+y = 2, so completes the system.

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