Answer:
4x-2y=2
Step-by-step explanation:
Line R is represented by the following equation:
x+y=2
We need to choose another system of equation of x+y=2
whose solution is (1,1)
The equation must be satisfy the point (1,1)
Option 1: 2x+y = 2
Put x=1 and y=1
2(1)+1 = 3
3 ≠ 2
False
Option 2: 4x-2y=2
Put x=1 and y=1
4(1) - 2(1) = 2
2 = 2
True
Option 3: 2x-2y=2
Put x=1 and y=1
2(1) - 2(1) = 0
0 ≠ 2
False
Option 4: x+y=4
Put x=1 and y=1
1+1 = 2
2 ≠ 4
False
Hence, The system of equation is 4x-2y=2
