Classify the system and determine the number of solutions. (Check all that apply.)
5x - y = -3
15x - 3y = -9

dependent
no solution
inconsistent
independent
consistent
infinitely many solutions

Question

Classify the system and determine the number of solutions. (Check all that apply.) 
5x - y = -3
15x - 3y = -9

 	
	dependent
	no solution
	inconsistent
	independent
	consistent
	infinitely many solutions

ranga · Answer

If you multiply the first equation by 3 throughout, you get the second equation.  So they are not really two different equations.  They are dependent equations.  They are one and the same equation.  So one equation and two unknowns.  That means you can pick any value for one variable and then use one of the equations to find the value of the other variable.  So there are infinitely many solutions.

anonymous · Answer

Ok so i should check dependent & infinitely many?

ranga · Answer

I would include consistent as well.
So dependent, consistent and infinitely many solutions.

anonymous · Answer

Thank you! I get so confused with these.. can u help with a few more?

ranga · Answer

You are welcome.

ranga · Answer

I just posted an answer for your next question.