Question

Solve by elimination:
4a/3 - b/4 =6
5a + b = 13

Answer 1

this Is me

Answer 2

a=3b16+92

Answer 3

a=3b/16+92

Answer 4

number 2 is a=−b5+135

Answer 5

@templeguy how did you get a=3b/16+92

Answer 6

that's number 2 a=-b/5+13/5

Answer 7

@Luigi0210 can you please help me with this?

Answer 8

Have you tried getting rid of b?

Answer 9

No, because I don't understand how to.

Answer 10

Okay, so we have
\(\Large \frac{4}{3}a - \frac{b}{4}= 6\)

\(\Large 5a+b =13\)
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So to eliminate b, we need to get of that fraction, so we multiply by 4:

\(\Large \frac{16}{3}-b =16 \)

\(\Large 5a+b=13 \)

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Now we can use elimination :P

Answer 11

-b=16- 16/3
b=13-5a

Answer 12

@Luigi0210 right? ^

Answer 13

Whoops, I forgot my a there.. but close enough. When you cancel the b's, you'll end up with:
\(\large \frac{16}{3} a=16 \)

\(\large 5a=13 \)

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Now just add them:
\(\Large \frac{16}{3}a +\frac{15}{3} a =13+16\)

\(\Large \frac{31}{3}a =29 \)

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This is looking weird but the answer will for a will be.. :

\(\Large a=29*\frac{3}{31} \)

\(\Large a=\frac{87}{31} \)

Hmm, well I guess that's it for a >.<

Answer 14

Isn't it supposed to be 16/3b not a ?

Answer 15

We're solving for a tho. For elimination, you "eliminate" one of the variables, which was b, so we could solve for the other

Answer 16

ohh okay

Answer 17

now is the next step to sub in 87,31 into the first equation?

Answer 18

a=87/31 **

Answer 19

Yup, and that would give you the other variable.

Answer 20

Hold on tho, I messed up on the calculations somewhere :/

Answer 21

kk..

Answer 22

You at least understand the basic steps for solving using elimination right?

Answer 23

yea i understand it a little bit

Answer 24

would i have to bring 4(87/31)/3 to the other side to make it negative? :
-b/4= 6 -4(87/31)/3

Answer 25

...to isolate b

Answer 26

@Luigi0210 what am i supposed to do next

Answer 27

Okay, sorry about that wait.. so attached I have the solution that I came up with. I tried showing the steps.

And also, Wolfram confirms it's right :)
http://www.wolframalpha.com/input/?i=solve+4a%2F3+-+b%2F4+%3D6+and+5a+%2B+b+%3D+13

Answer 28

That should be 152, not 53, sorry

Answer 29

Oh cool. So, the poi is (111/31, -152/31)

Answer 30

Thanks a millionnnnnnnnnnnn

Answer 31

I'm having so much trouble with math lately lol

Answer 32

No problem, that's why I'm here to try and help if I can :P

Answer 33

Well, thank you for being so caring :)

Answer 34

Yup, good luck :D