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