Question

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

Answer 1

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.