SOLUTION: Solve the system of equations by graphing. Then classify system. 6x-7y=14 7y-6x=-14 What is the solution of the system? If necessary,complete your choice. A. The solution is

Algebra ->  Graphs -> SOLUTION: Solve the system of equations by graphing. Then classify system. 6x-7y=14 7y-6x=-14 What is the solution of the system? If necessary,complete your choice. A. The solution is       Log On


   



Question 449476: Solve the system of equations by graphing. Then classify system.
6x-7y=14
7y-6x=-14
What is the solution of the system? If necessary,complete your choice.
A. The solution is ____?
b. There are infinitely many solutions.
C. There is no solution.
Is the system consistent or inconsistent?
Are the equations dependent or independent?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

7y=6x-14
7y=6x-14
They have same slope and same y intercept. it is clear that the two equations coincide with each other.
All the points on the line are the solutions to both the equations. So, the system of equations has infinite number of solutions.

So, the system of equations is consistent and the equations are dependent.