Question

How many solutions does the following system of equations have?

Answer 1

Thank you guys :)

Answer 2

Infinitely many... let me explain.

Answer 3

In a system of equations it is easiest to start in the basic format ax + by = c

5/2x -y = -2
5x -2y = -4

is the basic format by moving terms to the other side.

Answer 4

Next, we want to add the two equations together and try to cancel something out. That y looks like it can be canceled in eq. 2.

So, multiply eq. 1 by -2:

-5x + 2y = 4
5x -2y = -4

UHHH OHHHH!!!!!!!!

*Red lights flashing*

Answer 5

So you are sure its infinitely many? Thank you so much, you are a lifesaver :)

Answer 6

When you add these two equations together you get 0=0 or infinitely many solutions

Answer 7

Thank you so muchh :)

Answer 8

No problem.