Solve the system of equations. Then classify the system as : 1. Consistent or inconsistent 2.Dependent or independent 3. What is the solution of the systems equation? A point,no solution or infinitely many solution.

5x-8y=16 and 8y-5x=-16

Question

Solve the system of equations. Then classify the system as : 1. Consistent or inconsistent 2.Dependent or independent 3. What is the solution of the systems equation? A point,no solution or infinitely many solution.

5x-8y=16 and 8y-5x=-16

anonymous · Answer

They are the same equation methinks

anonymous · Answer

infinetely many solutions as the lines intersect eachother everywhere

anonymous · Answer

So is it 1.Infinitely many solutions 2. Consistent 3.Dependent?

anonymous · Answer

Im not sure about the definitions of consistent and dependent

mertsj · Answer

So it is consistent and dependent

anonymous · Answer

@Mertsj is it because it has many solutions?

mertsj · Answer

It is consistent because the two equations do have points in common.  It is dependent because they have more than 1 point in common.  Basically by definition of the terms.

anonymous · Answer

@Mertsj thank you!

mertsj · Answer

yw