LifeIsADangerousGame
How do I find how many solutions are there to the following system of equations?
2x – y = 2
–x + 5y = 3
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LifeIsADangerousGame
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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
ajprincess
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so x=13/9
apply this value in ur first eqn and find the value of y.
LifeIsADangerousGame
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ohhh
let me do it out one second please :P
ajprincess
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oh k. I will wait.
LifeIsADangerousGame
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Ah. idk how to do it :/
ajprincess
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2x-y=2
2*13/9-y=2
nw can u do?
LifeIsADangerousGame
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OH that's what I did wrong! I made it "y" and not x!
ajprincess
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sorry. i didn't get u
LifeIsADangerousGame
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No you're good :P I got y = 8.9 is that correct
ajprincess
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it has to b 0.89
LifeIsADangerousGame
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sorry, moved the decimal :P
LifeIsADangerousGame
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So
A.
0
B.
1
C.
2
D.
infinitely many
LifeIsADangerousGame
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Those are teh answers I can choose....how can I find which one it is?
ajprincess
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only 1 solution
LifeIsADangerousGame
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Could you explain to me why?
ajprincess
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R u familiar with graphs?
LifeIsADangerousGame
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Yes, and I thnik I found it in my book :P Thanks though
LifeIsADangerousGame
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Ooh I get it! Thanks so much :D
ajprincess
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sure u got it. if nt I will explain. no problem
LifeIsADangerousGame
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Nope, I think I'm good :) Would you mind helping me with the rest?
ajprincess
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ha k. sure post them.
LifeIsADangerousGame
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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
ajprincess
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u r right.
LifeIsADangerousGame
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Thanks! I appreciate you helping me :)
ajprincess
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u r welcome. :)