## LifeIsADangerousGame 3 years ago How do I find how many solutions are there to the following system of equations? 2x – y = 2 –x + 5y = 3

What I've done so far: 5(2x – y = 2) ----> 10x - 5y = 10 (–x + 5y = 3) ---> -x + 5y = 3 Cross out the 5y's.... 10x = 10 -x = 3 then I add so 9x/9 = 13/9

2. ajprincess

so x=13/9 apply this value in ur first eqn and find the value of y.

ohhh let me do it out one second please :P

4. ajprincess

oh k. I will wait.

Ah. idk how to do it :/

6. ajprincess

2x-y=2 2*13/9-y=2 nw can u do?

OH that's what I did wrong! I made it "y" and not x!

8. ajprincess

sorry. i didn't get u

No you're good :P I got y = 8.9 is that correct

10. ajprincess

it has to b 0.89

sorry, moved the decimal :P

So A. 0 B. 1 C. 2 D. infinitely many

Those are teh answers I can choose....how can I find which one it is?

14. ajprincess

only 1 solution

Could you explain to me why?

16. ajprincess

R u familiar with graphs?

Yes, and I thnik I found it in my book :P Thanks though

I hate graphs :P

Ooh I get it! Thanks so much :D

20. ajprincess

sure u got it. if nt I will explain. no problem

Nope, I think I'm good :) Would you mind helping me with the rest?

22. ajprincess

ha k. sure post them.

Thanks!

Write a system of equations to solve the following problem. Let c be the number of child tickets and a be the number of adult tickets. Each child ticket for a ride costs \$3, while each adult ticket costs \$5. If the ride collected a total of \$115, and 33 tickets were sold, how many of each type of ticket were sold? My answer: 3c + 5a = 115 a + c = 33

25. ajprincess

u r right.

Thanks! I appreciate you helping me :)

27. ajprincess

u r welcome. :)