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## Question:

Without graphing, is the system independent, dependent, or inconsistent y=2x-8 2x-y=8

## Answer:

An **independent** system has different slopes hence has a unique solution.

If two lines have the same slope then, they are **inconsistent**. The reason is that the two lines could have **NO SOLUTION** or **INFINITELY MANY SOLUTION**.

An inconsistent system that have infinitely many solution is said to be **dependent**.

Now let us make the subject in both equations, to obtain,

For the seccond equation, we have

Wow, the two systems have the same slope and intercept. This means the system has infinitely many solution, hence it is dependent.

**The two systems are dependent**

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