Question

Did I do this Algebra problem correctly?
Without graphing, classify the system and determine the number of solutions.
5x-3y=-15
15x-9y=-90

I believe the answer's Consistent, infinitely many solutions.

Answer 1

Is this correct?

Answer 2

Multiply the to equation by -3 and pick a term to cancel out

Answer 3

Turn both equations into slope intercept form. You'll see something interesting that may want you to change your answer.

Answer 4

So. It's consistent with one solution, correct?

Answer 5

-15x + 9y = 45
add this to second equation:
0 = -45

- what can we conclude from this?

Answer 6

wow, im silly!

Inconsistent, no solutions.

Answer 7

right

Answer 8

Bingo

Answer 9

thank you

Answer 10

thank you all, very much!

Answer 11

yw