The system of equations is:

1) x - y = -4
2) y = x + 4

To determine if the system is consistent or inconsistent, and if it is independent or dependent, we can use substitution or elimination method. Here, we can use substitution since the second equation is already solved for y.

Substitute y in the first equation with the value from the second equation:

x - (x + 4) = -4
x - x - 4 = -4
-4 = -4

Since the left side equals to the right side, the system is consistent.

Now, to determine if the system is independent or dependent, we need to look at the solutions. If there is exactly one solution, the system is independent. If there are infinitely many solutions, the system is dependent.

In this case, the two equations are equivalent (they are the same line), meaning there are infinitely many solutions. Therefore, the system is dependent.

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The system of equations is:

1) x - y = -4
2) y = x + 4

To determine if the system is consistent or inconsistent, and if it is independent or dependent, we can use substitution or elimination method. Here, we can use substitution since the second equation is already solved for y.

Substitute y in the first equation with the value from the second equation:

x - (x + 4) = -4
x - x - 4 = -4
-4 = -4

Since the left side equals to the right side, the system is consistent.

Now, to determine if the system is independent or dependent, we need to look at the solutions. If there is exactly one solution, the system is independent. If there are infinitely many solutions, the system is dependent.

In this case, the two equations are equivalent (they are the same line), meaning there are infinitely many solutions. Therefore, the system is dependent.

Knowee AI · Accepted Answer

The system of equations is:

1) x - y = -4
2) y = x + 4

To determine if the system is consistent or inconsistent, and if it is independent or dependent, we can use substitution or elimination method. Here, we can use substitution since the second equation is already solved for y.

Substitute y in the first equation with the value from the second equation:

x - (x + 4) = -4
x - x - 4 = -4
-4 = -4

Since the left side equals to the right side, the system is consistent.

Now, to determine if the system is independent or dependent, we need to look at the solutions. If there is exactly one solution, the system is independent. If there are infinitely many solutions, the system is dependent.

In this case, the two equations are equivalent (they are the same line), meaning there are infinitely many solutions. Therefore, the system is dependent.

whether the system of equations is consistent or inconsistent and if it is independent or dependent. x−y=−4𝑥-𝑦=-4 y=x+4

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