Question

Determine whether each ordered pair is a solution of y = 3x-5. (2,2) (4,7) (6,13) (5,10)

Answer 1

(4,7), (6,13), and (5,10)

Explanation:

To determine if an ordered pair is a solution, substitute the coordinates in and check to see if they are true:

(2,2)

`y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\\eq1`

Thus, (2,2) is not a solution.

(4,7)

`y=3x-5\\(7)\stackrel{?}{=}3(4)-5\\7\stackrel{?}{=}12-5\\7\stackrel{\checkmark}{=}7`

Thus, (4,7) is a solution.

(6,13)

`y=3x-5\\(13)\stackrel{?}{=}3(6)-5\\13\stackrel{?}{=}18-5\\13\stackrel{\checkmark}{=}13`

Thus, (6,13) is also a solution.

Lastly, (5,10)

`y=3x-5\\10\stackrel{?}{=}3(5)-5\\10\stackrel{?}{=}15-5\\10\stackrel{\checkmark}{=}10`

Thus, (5,10) is also a solution.