Question

Which list of ordered pairs represents solutions to x + y = 2? (-4, 6), (0, 2), (4, 2); (-4, -6), (0, 2), (4, 2); (-4, 6), (0, 2), (4, -2)

Answer 1

Answer:

(-4,6), (0,2), (4,-2)

Step-by-step explanation:

If you substitute the ordered pairs in the equation and all three of the ordered pairs in the list equals to 2 that is the list that represents the solution

Answer 2

Answer:

(-4, 6), (0, 2), (4, -2)

Step-by-step explanation:

x + y = 2?

(-4, 6),   -4+6 = 2    True  this is a solution

(0, 2),    0+2  = 2    True  this is a solution

(4, 2);    4+2 = 6    False  this is not a solution

This is not a solution set since we have a pair that is not a solution

(-4, -6),   -4+-6 = 10  False  this is not a solution.  We do not have to check the rest since this cannot be a solution set

(0, 2),

(4, 2);

This is not a solution set since we have a pair that is not a solution

(-4, 6),  -4 + 6 = 2  True  this is a solution

(0, 2), 0 + 2 =2   True  this is a solution

(4, -2)  4-2 =2   True  this is a solution

This is a solution set since all the points are a solution