State whether the following equations are independent, dependent, consistent, inconsistent and justify: 2x = 2 + 5y3x = 8 - 3y

Expert Answers

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The given system of linear equations consists of 2x = 2 + 5y
3x = 8 - 3y.

Plotting the lines represented by the two equations gives:

It is seen that the two lines intersect each other at a single unique point.

The given equations are consistent and independent.

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