Question

I need these answered and explained, please!
I have exactly 7 questions! I will fan and medal!

Answer 1

@haunting_beauty
@Howard-Wolowitz

Answer 2

Please post your questions one at a time.

Answer 3

Alright! So should I post the first one right now?

Answer 4

yes

Answer 5

Alright

1. For the system below, solve using linear combinations method. Show all work.

System:
2a+3b=1
−2a+b=11

Do you understand? Because I unfortunately don't.. D:

Answer 6

@youngstudier

Answer 7

@Compassionate

Answer 8

@AlexandervonHumboldt2

Answer 9

What is this linear combinations method?

Answer 10

ok we must get a and b by themself for both equations

Answer 11

Alright, how do we do that?

Answer 12

2a+3b(-3b)=1(-3b)
this makes it
2a=1-3b


then for your other equation we do the same
−2a+b=11
−2a+b(-b)=11(-b)
this makes it -2a=11-b

Answer 13

ill show you the next step once you understand that

Answer 14

Alright, Let me read, I'll tell you when I am done, thank you! ^u^

Answer 15

Alright! I am done reading, I am ready for the next step!

Answer 16

:)

Answer 17

ok I made a small mistake on part one of this step for -2a+b=11 you do it like this
-2a(+2a)+b=11(+2a)
so we have b=11+2a

for the other eqation we now have 2a=1-3b
we want a by its self so
2a/a=(1-3b)/2
a=1/2-3b/2

let me know when your ready for the next step :)

Answer 18

Alright! That was surprisingly easy! Thank you! I am ready for the next step.

Answer 19

:)

Answer 20

ok now plug the equations together

b=11+2(1/2-3/2(b))
using the distributive property multiply 2 and whats in the ()
b=11+2(1/2)-3/2(b)(2))
b=11+1-3b
b=12-3b
now get b on one side of the =
b(+3b)=12-3b(+3b)
4b=12
4b/4=12/4
b=3

Answer 21

@hothotlEG let me know when your ready for the last step this is easy :)

Answer 22

:) thank you so much! this is actually fun! I'm ready for the next step!

Answer 23

:)

Answer 24

ok since we have b=3 we can plug it into either equation lets use
2a+3b=1
2a+3(3)=1
2a+9=1
2a+9(-9)=1(-9)
2a=-8
2a/2=-8/2
a=-4

and if you want to check my math plug in the a=-4 and b=3 in to both of your equations and they should be the same answer. :)

Answer 25

@hothotlEG

Answer 26

Thank you very much! Your very good at this!

Answer 27

I need to go now, but again, thank you so much!

Answer 28

np