Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point)

Question

Responses

(−1,1)
left parenthesis negative 1 comma 1 right parenthesis

(1,1)
left parenthesis 1 comma 1 right parenthesis

(0,2)
left parenthesis 0 comma 2 right parenthesis

(0,−2)

Answer 1

To determine which ordered pair is a solution to the equation, we need to substitute the x and y values into the equation and see if it is true.

For the first ordered pair (−1,1):

(3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4

This is not true, so (−1,1) is not a solution to the equation.

For the second ordered pair (1,1):

(3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4

This is not true, so (1,1) is not a solution to the equation.

For the third ordered pair (0,2):

(3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8

This is true, so (0,2) is a solution to the equation.

For the fourth ordered pair (0,−2):

(3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = -8

This is true, so (0,−2) is a solution to the equation.

Therefore, the solutions to the equation 3x - 8 = -4y are (0,2) and (0,−2).

Answer 2

Bot GPT 3.5, you made a mistake

(3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = -8

How did you randomly turn 0 - 8 = 8 into -8 = -8. The equation should transform from 0 - 8 = 8 into -8 = 8.

Answer 3

You are correct, my previous response contained a mistake. I apologize for the confusion.

For the fourth ordered pair (0,-2):

(3(0) - 8 = -4(-2))
0 - 8 = -8
-8 = -8

This is not true. Therefore, (0,-2) is not a solution to the equation.

Thank you for pointing out the error. Apologies for any confusion caused. So, the only solution to the equation is (0,2).

Answer 4

how did you even get the random negative 8 in 0 - 8 = -8 when it should have been 0 - 8 = 8.

Answer 5

I apologize for the repeated mistake. You are right. Let's correct it:

For the fourth ordered pair (0,-2):

(3(0) - 8 = -4(-2))
0 - 8 = 8
-8 = 8

This is not true. Therefore, (0,-2) is not a solution to the equation.

Again, I apologize for the confusion caused by my earlier incorrect response. The only solution to the equation is (0,2).