Which order pair is a solution of the equation y = x - 2

A - (3,1)

B - (1,3)

C - (-1,3)

D - (3,-1)

The easiest way to solve this problem is to start plugging in the values for y and x.

For "A" you have an x-value of 3 and a y-value of 1. Plug these in and you get:

1 = (3) - 2.

Subtract.

1 = 1

Because this statement is true, "A" is a solution to the equation y = x - 2.

"A" is the answer.

If we were to try something else though, such as "B", we would end up with a false statement.

"B" has an x-value of 1 and a y-value of 3.

3 = (1) - 2

Subtract.

3 = - 1

This statement is false, therefore, "B" is not a solution to the equation y = x - 2.

(3,1) y = x - 2, when x = 3, y = 3 - 2 = 1 ... YES

(1,3) y = x - 2, when x = 1, y = 1 - 2 = - 1 ... NO

(-1,3) y = x - 2, when x = - 1, y = - 1 - 2 = - 3 ... NO

(3,-1) y = x - 2, when x = 3, y = 3 - 2 = 1 ... NO

answer is

A - (3,1)