asked 229k views
3 votes
Solve using the elimination method. Also determine whether each system is consistent or inconsistent and whether the equations are dependent or independent.

3x-12y=6
2x-8y=4

asked
User Himanth
by
8.8k points

1 Answer

4 votes

Answer:

System is inconsistent and equations are mutually dependent.

Explanation:

Let divide each linear equation by its smallest coefficient:


x-4\cdot y = 2


x-4\cdot y = 2

By using the elimination method on variable x, the following equivalence appears:


2-4\cdot y = 2-4\cdot y

Since one of the equation is a multiple of the other one, there is not an unique solution and equations are mutually depedent. The system is inconsistent.

answered
User Stephen Turner
by
8.1k points
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