Question

The point (0,-2) is a solution to which system? (1 point) Responses -4x + y = 6 -5x - y = 21 -4x + y = 6 -5x - y = 21 -5x + y = -2 -3x + 6y = -12 -5x + y = -2 -3x + 6y = -12 -5x = y - 3 3x - 8y = 24 -5x = y - 3 3x - 8y = 24 x + y = 2 -x + 2y = 16 x + y = 2 -x + 2y = 16

Answer 1

[AI-generated answer — Bot GPT 3.5]

The point (0,-2) is a solution to the system of equations:

-4x + y = 6
-5x + y = -2

Answer 2

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

The point (0, -2) is a solution to the system of equations:

-5x + y = -2
-3x + 6y = -12

Answer 3

[AI-generated answer — Explain Bot]

To determine which system the point (0,-2) is a solution to, you need to substitute the values of x and y into each equation and see which system yields true statements.

Let's go through each system one by one and substitute the values of x = 0 and y = -2:

1. -4x + y = 6:
-4(0) + (-2) = 6
0 - 2 = 6
-2 = 6
This statement is FALSE.

2. -5x - y = 21:
-5(0) - (-2) = 21
0 + 2 = 21
2 = 21
This statement is FALSE.

3. -5x + y = -2:
-5(0) + (-2) = -2
0 - 2 = -2
-2 = -2
This statement is TRUE.

4. -3x + 6y = -12:
-3(0) + 6(-2) = -12
0 - 12 = -12
-12 = -12
This statement is TRUE.

5. -5x = y - 3:
-5(0) = (-2) - 3
0 = -2 - 3
0 = -5
This statement is FALSE.

6. 3x - 8y = 24:
3(0) - 8(-2) = 24
0 + 16 = 24
16 = 24
This statement is FALSE.

7. x + y = 2:
0 + (-2) = 2
-2 = 2
This statement is FALSE.

8. -x + 2y = 16:
-(0) + 2(-2) = 16
0 - 4 = 16
-4 = 16
This statement is FALSE.

From the calculations above, we can see that the point (0,-2) is a solution to the system -5x + y = -2 and -3x + 6y = -12.

Answer 4

The point (0,-2) is a solution to which system?

Answer 5

[AI-generated answer — Bot GPT 3.5]

The point (0,-2) is a solution to the system of equations:

-5x + y = -2
-3x + 6y = -12

Answer 6

How could you check to see if the point (5, 6) is the solution to the Linear System of equations?(1 point) Responses Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true. Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true. Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true. Substitute 6 in for x and 5 in for y in both of the equations to see if both equations are true. Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true. Substitute 5 in for x and 6 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true. Substitute 6 in for x and 5 in for y in one of the equations to see if the equation is true.

Answer 7

[AI-generated answer — Bot GPT 3.5]

To check if the point (5, 6) is a solution to the linear system of equations, you should substitute 5 in for x and 6 in for y in both of the equations and see if both equations are true.

So, the correct response is:

Substitute 5 in for x and 6 in for y in both of the equations to see if both equations are true.

Answer 8

You are running a concession stand at a baseball game. You are selling pizza slices and sodas. Each pizza slice sells for $3.50 and each soda sells for $1.50. At the end of the night, you made a total of $800. You sold a total of 344 pizza slices and sodas combined. You must report the number of pizza slices sold and the number of sodas sold. What equations did you use to solve this, where P = the number of pizza slices sold and S = the number of sodas sold? (1 point) Responses 3.50S + 1.50P = 344 and P + S = 800 3.50S + 1.50P = 344 and P + S = 800 3.50P + S = 800 and P + 1.50S = 344 3.50P + S = 800 and P + 1.50S = 344 3.50S + 1.50P = 800 and P + S = 344 3.50S + 1.50P = 800 and P + S = 344 3.50P + 1.50S = 800 and P + S = 344

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we can set up the following equations:

Let P = the number of pizza slices sold
Let S = the number of sodas sold

The price of a pizza slice is $3.50 and the price of a soda is $1.50.

The first equation represents the total revenue from selling pizza slices and sodas combined, which should equal $800:
3.50P + 1.50S = 800

The second equation represents the total number of pizza slices and sodas sold, which should equal 344:
P + S = 344

So, the correct equations are:

3.50P + 1.50S = 800 and
P + S = 344

Answer 10

Check all that apply. Select the statement(s) that correctly describes the solution to this system of equations: 8x−2y=−4 4x−y=−2 (2 points) Responses Solve this system by elimination since it is already in standard form and lined up nicely. Solve this system by elimination since it is already in standard form and lined up nicely. There is exactly one solution to this system of linear equations and it is (2, 0). There is exactly one solution to this system of linear equations and it is (2, 0). There are infinite solutions to this system of linear equations. There are infinite solutions to this system of linear equations. These lines are parallel, so there is no solution to this system of linear equations. These lines are parallel, so there is no solution to this system of linear equations. There is exactly one solution to this system of linear equations and it is (0, -2). There is exactly one solution to this system of linear equations and it is (0, -2). Solve this system by substitution since one of the variables is defined by the other without having to do any math.

Answer 11

[AI-generated answer — Bot GPT 3.5]

The correct responses are:

There is exactly one solution to this system of linear equations and it is (0, -2).

These lines are parallel, so there is no solution to this system of linear equations.