Question

PLEASE ANSWER ASAP CAUSE THIS QUIZ IS DUE SOON

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

Answer 1

4x-2y=2

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