Question

How many solutions does the following system of equations have?
y=5/2x+2
2y=5x+4

One

Two

Zero

Infinitely many

Answer 1

Take this equation --> y=5/2x+2
and multiply each term by 2.

Post what you get.

Answer 2

@mikeshaw

Answer 3

y=9x+4

Answer 4

Is that right? @Directrix

Answer 5

anyone help me?

Answer 6

Multiply each term by 2 as Directrix said:
What is y * 2?
What is 5/2x * 2?

Answer 7

How did you get 9??

Answer 8

2y=5x+4*

Answer 9

There you go.
Now you have :
2y=5x+4
2y=5x+4

You have 2 identical equations so you actually only have 1 equation:
2y=5x+4

What can you deduce from that about your question?

Answer 10

That you can only have one solution?

Answer 11

or you can do one thing, subtract the first equation from second
what u get ?

Answer 12

What if x = -1 and y = -1/2?
What if x = 1 and y = 9/2?

Answer 13

You still think there's only one solution?

Answer 14

So there is many solutions then

Answer 15

So your answer is?

Answer 16

infinetly many

Answer 17

There you go.

Whenever you have one equation but more than one unkown like
2x + y = 10
then you will always have infinitely many solutions.

Answer 18

tjhank you :D

Answer 19

Pleasure.