For each ordered pair, determine whether it is a solution to y = 4x - 5.

Question

Is it a solution?

Yes No
(9, -52)
(-9, -41)
(-6, 29)
(3, 19)

Answer 1

To determine whether each ordered pair is a solution to the equation y = 4x - 5, we substitute the x and y values into the equation and check if they satisfy the equation:

1. For the pair (9, -52):
y = 4x - 5
-52 = 4(9) - 5
-52 = 36 - 5
-52 = 31

Since -52 does not equal 31, the pair (9, -52) is not a solution to the equation.

2. For the pair (-9, -41):
y = 4x - 5
-41 = 4(-9) - 5
-41 = -31 - 5
-41 = -36

Since -41 does not equal -36, the pair (-9, -41) is not a solution to the equation.

3. For the pair (-6, 29):
y = 4x - 5
29 = 4(-6) - 5
29 = -24 - 5
29 = -29

Since 29 does not equal -29, the pair (-6, 29) is not a solution to the equation.

4. For the pair (3, 19):
y = 4x - 5
19 = 4(3) - 5
19 = 12 - 5
19 = 7

Since 19 does equal 7, the pair (3, 19) is a solution to the equation.

Therefore, the solutions are:
(9, -52) - No
(-9, -41) - No
(-6, 29) - No
(3, 19) - Yes

Answer 2

wrong

Answer 3

I apologize for the mistake.

Let's re-evaluate each ordered pair:

1. For the pair (9, -52):
y = 4x - 5
-52 = 4(9) - 5
-52 = 36 - 5
-52 = 31

Since -52 does not equal 31, the pair (9, -52) is not a solution to the equation.

2. For the pair (-9, -41):
y = 4x - 5
-41 = 4(-9) - 5
-41 = -36 - 5
-41 = -41

Since -41 equals -41, the pair (-9, -41) is a solution to the equation.

3. For the pair (-6, 29):
y = 4x - 5
29 = 4(-6) - 5
29 = -24 - 5
29 = -29

Since 29 does not equal -29, the pair (-6, 29) is not a solution to the equation.

4. For the pair (3, 19):
y = 4x - 5
19 = 4(3) - 5
19 = 12 - 5
19 = 7

Since 19 does equal 7, the pair (3, 19) is a solution to the equation.

Therefore, the solutions are:
(9, -52) - No
(-9, -41) - Yes
(-6, 29) - No
(3, 19) - Yes