Question

Line R is represented by the following equation: x + y = 2Which equation completes the system that is satisfied by the solution (1, 1)? 2x + y = 24x − 2y = 22x − 2y = 2x + y = 4

Answer 1

4x − 2y = 2

Step-by-step explanation

If line R is represented by the equation: x + y = 2

The system that is satisfied by the solution (1, 1) can be known in the option s follows:

First substitute x = 1 and y = 1 into the given equation x + y = 2

1 + 1 = 2

2 = 2

Any equation that gives the same solution as the given equation will be the equation.

For 2x + y = 2

2(1) + 1 = 2

2 + 1 = 2

3 = 2

So 2x + y = 2 s not tha equation

For 4x − 2y = 2

4(1) - 2(1) = 2

4 - 2 = 2

2 = 2

Hence, 4x − 2y = 2 is the equation that completes the system that satisfied by the solution.