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 (Answer #1)

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 (Answer #2)

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

atyourservice's profile pic

Posted on (Answer #3)

They are dependent.

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