anonymous
  • anonymous
Two equations are given below: a − 3b = 4 a = b − 2 What is the solution to the set of equations in the form (a, b)? (−2, −2) (−3, −1) (−9, −7) (−5, −3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
please help
anonymous
  • anonymous
can anyone help?
anonymous
  • anonymous
since you know what a is equal to plug its value into the first equation so that you have the first equation only in terms of b, then solve for b

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anonymous
  • anonymous
@AliSurfCat ok?
anonymous
  • anonymous
I really dont know
anonymous
  • anonymous
what is a equal to? according to the second equation
anonymous
  • anonymous
thats the thing I dont know:(
anonymous
  • anonymous
if i show you this, z = 10, what is z equal to?
anonymous
  • anonymous
10
anonymous
  • anonymous
perfect, now if i show you this, a = b − 2, what is a equal to?
anonymous
  • anonymous
a equals 4
anonymous
  • anonymous
a equals b - 2
anonymous
  • anonymous
and be equals 6
anonymous
  • anonymous
no, a equals b - 2
anonymous
  • anonymous
okay
anonymous
  • anonymous
ok lets make sure you understand this, if i show you j = 5i +z - 2, what is j equal to?
anonymous
  • anonymous
5i +z - 2
anonymous
  • anonymous
perfect :)
anonymous
  • anonymous
ok back to your question, so we know a is equal to b - 2
anonymous
  • anonymous
since a is equal to b -2 can you please replace a in the first equation with b -2 since they equal the same thing
anonymous
  • anonymous
ok, b-2 − 3b = 4
anonymous
  • anonymous
perfect :)
anonymous
  • anonymous
now can you solve for b? with that equation b -2 -3b = 4
anonymous
  • anonymous
cna you help me on this one?
anonymous
  • anonymous
sure
anonymous
  • anonymous
to solve for b we need to find out what b equals, so we have an equation that has only numbers and the variable b, so we need to perform some arithmetic on the equation to get b by itself on one side of the equals sign
anonymous
  • anonymous
so lets start by only getting terms with a b in them on one side, so if you have b - 2 - 3b = 4, what would be a good step to take so that there are only terms with b in them on the left side?
anonymous
  • anonymous
how can i get rid of the -2 on the left side?
anonymous
  • anonymous
ok
anonymous
  • anonymous
what happens if we add 2 on both sides of the equation, what do you get?
anonymous
  • anonymous
you get 6
anonymous
  • anonymous
i get 6 on the right hand side of the equals sign but what about on the left side?
anonymous
  • anonymous
b - 2 + 2 - 3b = 4 + 2 b - 2 + 2 - 3b = 6
anonymous
  • anonymous
hey I have a few minutes left to turn this in please help
anonymous
  • anonymous
i am helping, if you just want the answer, i cant do that
anonymous
  • anonymous
I dont but think it is A
anonymous
  • anonymous
good luck bud
anonymous
  • anonymous
ok well thanks
anonymous
  • anonymous
if you change your mind and want to keep working through it let me know
anonymous
  • anonymous
I do :)
anonymous
  • anonymous
ok so we added 2 to both sides to get this b - 2 + 2 - 3b = 4 + 2 b - 2 + 2 - 3b = 6 can you simplify this and tell me what we get?
anonymous
  • anonymous
b-4-3b=6
anonymous
  • anonymous
close, but -2 + 2 is not equal to -4
anonymous
  • anonymous
ohhh sorry got a little confused
anonymous
  • anonymous
ok so -2 + 2 = what?
anonymous
  • anonymous
it eaquals 0
anonymous
  • anonymous
perfect, now we have b + 0 - 3b=6 which equals b - 3b = 6
anonymous
  • anonymous
can you simplify b - 3b = 6 by combining the b terms?
anonymous
  • anonymous
how do I do that
anonymous
  • anonymous
if i have 1b and i take away 3b's how many b's do i have?
anonymous
  • anonymous
do I just do 3b=6???
anonymous
  • anonymous
1b - 3b
anonymous
  • anonymous
--2b
anonymous
  • anonymous
correct
anonymous
  • anonymous
so we are almost done we have -2b = 6, now how can you get b by itself?
anonymous
  • anonymous
how can we get rid of the -2?
anonymous
  • anonymous
turn it into a 1
anonymous
  • anonymous
by adding 2 on both sides
anonymous
  • anonymous
by dividing both sides by -2
anonymous
  • anonymous
yes thats what I meant lol
anonymous
  • anonymous
-2/-2 = 1 so (-2b)/-2 = 6/(-2) 1b = 6/(-2) b = 6 / (-2)
anonymous
  • anonymous
so what is 6 / (-2), 6 divided by -2
anonymous
  • anonymous
-3
anonymous
  • anonymous
perfect, so b = -3, so now you know the answer, do you see an answer where the second number is -3? (a, b) (a, -3)
anonymous
  • anonymous
which one is it?
anonymous
  • anonymous
we can find a very easily also looking at the second equation we have a = b - 2 so if i plug in b i get a = -3 -2
anonymous
  • anonymous
so it is D?
anonymous
  • anonymous
correct :)
anonymous
  • anonymous
yay thanks so much
anonymous
  • anonymous
you're welcome, please do some practice on this stuff or your future classes in college will be very difficult, visit khan academy and get help on here and other sites also
anonymous
  • anonymous
I do
anonymous
  • anonymous
good :)
anonymous
  • anonymous
have a good day
anonymous
  • anonymous
you too
TheViper
  • TheViper
nice to see too much long conversation in such a simple question

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