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DIA [1.3K]
3 years ago
10

Solve by graphing. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + y = −1

1 6x + 3y = 15

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0

Answer:

The system is INCONSISTENT.

Equation of two parallel lines differ only by a constant.

Step-by-step explanation:

The given equations are:

2x + y = -11

6x + 3y = 15

From the graph we see that these lines are parallel. Any two parallel lines never meet. Hence, they do not have a solution.

Hence, the system is called an Inconsistent system.

Also, note that it can be seen easily from the equations are parallel without the help of a graph.

The equation 6x + 3y = 3(2x + y)

The terms (except for the constant term) are proportional. That means they represent parallel lines.

Hence, the answer.

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Intensive properties are bulk properties, which means they do not depend on the amount of matter that is present. Examples of intensive properties include:

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