Classify the system and determine the number of solutions. (Check all that apply.)

7x - y = -11
3y = 21x + 33

independent
inconsistent
infinitely many solutions
consistent
no solution
dependent

Question

Classify the system and determine the number of solutions. (Check all that apply.)

7x - y = -11
3y = 21x + 33
 	
	independent
	inconsistent
	infinitely many solutions
	consistent
	no solution
	dependent

tkhunny · Answer

Find a Solution?  Consistent.

Now what?

anonymous · Answer

its just consistent?

anonymous · Answer

i get so confused with these & i only have 6 mins left on my test :(

tkhunny · Answer

I didn't say it was anything about dependent or independent or whether or not it had a solution.

The difference between consistent and inconsistent is whether you can find a solution.  Do that.  See if you can find a solution.  If you can, it's consistent.

Then, we can worry about dependent or independent.

anonymous · Answer

theres no solution

tkhunny · Answer

What test are we cheating on?

1) 7x - y = -11
2) 3y = 21x + 33

Change the top equation a little

1) 7x - y = -11

Add y and add 11

1) y = 7x + 11

Multiply by 3

1) 3y = 21x + 33

Now, copy down equation #2.

2) 3y = 21x + 33

This gives it all away.

tkhunny · Answer

There are infinitely many solutions.  How did you manage to find none of them?