State whether the following equations are independent, dependent, consistent, inconsistent: 4x + 8y = 2 and x + 2y = 1/2

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justaguide's profile pic

Posted on

The equations given are: 4x + 8y = 2 and x + 2y = 1/2.

Plotting the lines represented by the two equations gives:

Both the equations give the same line. The equations have an infinite number of solutions.

The equations that are given are consistent but dependent.

baronridiculous's profile pic

Posted on

Notice that the first equation is exactly the second equation multiplied by 4 on both sides.  So this system is dependent.

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