Question

For each ordered pair, determine whether it is a solution to 9x-2y=17.

Answer 1

no

no

yes

no

Explanation:

(4, -1):

9(4) - 2(-1)=17

36 - (-2) = 17

36 + 2 = 17

38 = 17 ==> not true

(0, 6):

9(0) - 2(6)=17

0 - 12 = 17

-12 = 17 ==> not true

(3, 5):

9(3) - 2(5)=17

27 - 10 = 17

17 = 17 ==> true

(-5, -3):

9(-5) - 2(-3)=17

-45 - (-6) = 17

-45 + 6 = 17

-39 = 17 ==> not true

Answer 2

no

no

yes

no

Explanation:

For each ordered pair, substitute the x and y values in the given equation and use the Order of Operations to simplify the left side to see if the result matches the right side.

Ex: 9(4) -2(-1) = 36 + 2 = 38; 38≠17, so (4,-1) is not a solution.