State whether the following equations are independent, dependent, consistent, inconsistent : y = 3, 3x = 8 - 3y
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The system of linear equations consists of the equations: y = 3 and
3x = 8 - 3y
Plotting the two equations gives:
It is seen that the two lines intersect each other at a single point.
The given equations are consistent and independent.
This has a unique solution (x=-1/3, y=3) so the system is consistent and independent.
Remember, inconsistent means there's no solution, and dependent means there are an infinite number of solutions.
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