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

Answer:

System is inconsistent and equations are mutually dependent.

Step-by-step 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.