Solve the system. State whether the system is inconsistent or has infinitely many solutions...

Question

Solve the system. State whether the system is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.

 

4x-5y=2

-8x+10y=-4

Answer 1

There is already a request for 'academic honesty' that states:

"This section of WyzAnt Resources helps students receive answers to specific questions from professional tutors. We ask that all users keep academic honesty in mind when asking or answering questions.

"For example, feel free to ask questions that will help you answer a homework question on your own, but please refrain from asking the exact question from an assignment in order to turn in the tutor's answer as your own.

"In the same vein, tutors should keep in mind how their answers can help a student in the long run. Answering questions in a way that leads a student to understand how to arrive at the answer is preferable to just providing the answer."

So they are already telling the students not to just ask for answer so they can turn it in.

But no one reads this. The tutors doing the answering don't read it either. Or they ignore it.

Answer 2

Elle, are you putting your whole homework set up here? I hope not. That would be very naughty.

Answer 3

4x - 5y = 2

-8x + 10y = -4

 

8x - 10y = 4         multiply both sides by 2

-8x + 10y = -4

 

0 = 0                    add two equations

 

Infinitely many solutions.