Question

Which ordered pairs is a solution of the following equation. Select all that apply.

y=9x−2

(1 point)
Responses

(2,16)
open paren 2 comma 16 close paren

(1,7)
open paren 1 comma 7 close paren

(−1,−11)
open paren negative 1 comma negative 11 close paren

(0,−2)
open paren 0 comma negative 2 close paren

(−1,11)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The ordered pairs that are solutions of the equation y=9x-2 are:

(2,16)
(1,7)
(0,-2)
(-1,11)

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine which ordered pairs are solutions of the equation y = 9x - 2, we can substitute the x and y values of each pair into the equation and see if both sides of the equation are equal.

Let's check each option:

1. (2,16):
Plug in x = 2 and y = 16 into the equation:
16 = 9(2) - 2
16 = 18 - 2
16 = 16

Since both sides of the equation are equal, (2,16) is a solution.

2. (1,7):
Plug in x = 1 and y = 7 into the equation:
7 = 9(1) - 2
7 = 9 - 2
7 = 7

Since both sides of the equation are equal, (1,7) is a solution.

3. (-1,-11):
Plug in x = -1 and y = -11 into the equation:
-11 = 9(-1) - 2
-11 = -9 - 2
-11 = -11

Since both sides of the equation are equal, (-1,-11) is a solution.

4. (0,-2):
Plug in x = 0 and y = -2 into the equation:
-2 = 9(0) - 2
-2 = 0 - 2
-2 = -2

Since both sides of the equation are equal, (0,-2) is a solution.

5. (-1,11):
Plug in x = -1 and y = 11 into the equation:
11 = 9(-1) - 2
11 = -9 - 2
11 = -11

Since both sides of the equation are not equal, (-1,11) is not a solution.

Therefore, the ordered pairs that are solutions of the equation y = 9x - 2 are (2,16), (1,7), (-1,-11), and (0,-2).

Answer 3

[AI-generated answer — Explain Bot]

To find the ordered pairs that are solutions of the equation y = 9x - 2, you need to substitute the values of x and y from each ordered pair into the equation and see if the equation holds true.

Let's check each ordered pair:

1. (2,16): Substitute x = 2 and y = 16 into the equation: 16 = 9(2) - 2. Simplifying, we get 16 = 18 - 2, which is not true. This pair is not a solution.

2. (1,7): Substitute x = 1 and y = 7 into the equation: 7 = 9(1) - 2. Simplifying, we get 7 = 9 - 2, which is true. This pair is a solution.

3. (-1,-11): Substitute x = -1 and y = -11 into the equation: -11 = 9(-1) - 2. Simplifying, we get -11 = -9 - 2, which is true. This pair is a solution.

4. (0,-2): Substitute x = 0 and y = -2 into the equation: -2 = 9(0) - 2. Simplifying, we get -2 = 0 - 2, which is true. This pair is a solution.

5. (-1,11): Substitute x = -1 and y = 11 into the equation: 11 = 9(-1) - 2. Simplifying, we get 11 = -9 - 2, which is not true. This pair is not a solution.

To summarize, the ordered pairs that are solutions of the equation y = 9x - 2 are (1,7) and (0,-2).