Question

Solve the system by graphing. For systems that do not have one unique solution, also state the number of solutions and whether the system is inconsistent or the equations are dependent.
2x+8y=6
4x+16y=0

Answer 1

Answer:

The system has no solution

Is a inconsistent system

Step-by-step explanation:

we have

$2x+8y=6$ ----> equation A

$4x+16y=0$ ---> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The lines are parallel

see the attached figure

That means----> The lines do not intersect

therefore

The system has no solution

Is a inconsistent system