Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

(2,2)

$y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\neq1$

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.