anonymous
  • anonymous
PLEASE HELP Two equations are given below: m + 4n = 8 m = n − 2 What is the solution to the set of equations in the form (m, n)? (4, 6) (2, 4) (0, 2) (6, 8)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
first, let's leave the second equation alone for now and just look at m+4n = 8 what do you get when you subtract 4n from each side?
anonymous
  • anonymous
M-N=4
Vocaloid
  • Vocaloid
hm, not quite, let's just try the left side first what happens when you subtract 4n from m+4n?

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anonymous
  • anonymous
M
Vocaloid
  • Vocaloid
right! now let's look at the right side what happens when you subtract 4n from 8?
anonymous
  • anonymous
8N?
Vocaloid
  • Vocaloid
nope, since 8 has no variable and 4n has a variable, it's just 8 - 4n understand so far?
anonymous
  • anonymous
Yes
Vocaloid
  • Vocaloid
ok, so the left side of the equation is m, and the right side of the equation is 8 - 4n, which gives us m = 8 - 4n with me so far?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
good, so our first equation is m = 8 - 4n and our second equation is m = n - 2 we have m by itself on the left side in both equations, so we can set the two equations equal to each other 8 - 4n = n - 2 can you try solving for n now?
anonymous
  • anonymous
I thing so would it be 4,6
Vocaloid
  • Vocaloid
not quite, let's just take this one step at a time 8 - 4n = n - 2 what happens when you add 2 to each side?
anonymous
  • anonymous
what do you mean
Vocaloid
  • Vocaloid
add 2 to the left side, add 2 to the right side, and tell me what is on each side
anonymous
  • anonymous
10-6n=2n-4
Vocaloid
  • Vocaloid
not quite, remember we want to leave 4n and n alone because these are variables
anonymous
  • anonymous
oh
Vocaloid
  • Vocaloid
left side is 8 - 4n, what do you get when you add 2?
anonymous
  • anonymous
10-4n
Vocaloid
  • Vocaloid
great! the right side is n - 2, what do you get when you add 2?
anonymous
  • anonymous
n-4
Vocaloid
  • Vocaloid
not quite, what is n-2+2?
anonymous
  • anonymous
2
Vocaloid
  • Vocaloid
not quite, think of it this way n-2+2 means start with n, take away 2, then add 2 back what is n-2+2?
anonymous
  • anonymous
2n
Vocaloid
  • Vocaloid
not quite, remember that we leave n alone since its a variable one more time n-2+2=?
anonymous
  • anonymous
oh
anonymous
  • anonymous
so basicly we just substract 2 from to then add it back correct
Vocaloid
  • Vocaloid
right, so what do we get in the end?
anonymous
  • anonymous
2-2=0+2=2 right?
Vocaloid
  • Vocaloid
uh, not quite... let me try to explain it differently I start with n marbles. I pick up 2 marbles, then I drop 2 marbles. How many marbles do I have?
anonymous
  • anonymous
0
Vocaloid
  • Vocaloid
hint: I started with n marbles
anonymous
  • anonymous
n
Vocaloid
  • Vocaloid
right! so what does n-2+2=?
anonymous
  • anonymous
n
Vocaloid
  • Vocaloid
good! so, on the left side we have 10-4n and on the right side we have n 10-4n = n now, let's leave 10 alone since it's not a variable what happens when we add 4n to each side?
anonymous
  • anonymous
we get 8n
Vocaloid
  • Vocaloid
not quite... the left side is 10-4n, what do we get when we add 4n?
anonymous
  • anonymous
10-4n=4n
Vocaloid
  • Vocaloid
not quite, please try again 10-4n+4n=?
anonymous
  • anonymous
10-4n=6n+4n=10n?
Vocaloid
  • Vocaloid
not quite, remember that we leave the 10 alone since it's not a variable (doesn't have n) 10-4n+4n = ?
anonymous
  • anonymous
oh so 10-4n+4n=10-8n
Vocaloid
  • Vocaloid
not quite... think of it this way: I start with 10, take away 4n, then add 4n. what's left?
anonymous
  • anonymous
10-4n
Vocaloid
  • Vocaloid
not quite, let's try one more time I start with 10 marbles, then I drop 4n marbles, then I pick up 4n marbles, how many marbles do I have?
anonymous
  • anonymous
14n? I am not sure
Vocaloid
  • Vocaloid
let's try something different 10-4+4=?
anonymous
  • anonymous
14
Vocaloid
  • Vocaloid
hint: A-B+B = A
Vocaloid
  • Vocaloid
so, if A-B+B = A, then what is 10-4n+4n?
anonymous
  • anonymous
14n
Vocaloid
  • Vocaloid
|dw:1436906201632:dw|
anonymous
  • anonymous
10
Vocaloid
  • Vocaloid
great! so, the left side is 10 now let's move to the right side the right side is n, what do you get when you add 4n?
anonymous
  • anonymous
4n
Vocaloid
  • Vocaloid
not quite, remember that we started with n n+4n=?
anonymous
  • anonymous
oh so we just add 4 to the N
Vocaloid
  • Vocaloid
not quite... hint: n+4n = (1+4)n
anonymous
  • anonymous
oh so the thing is 5n
Vocaloid
  • Vocaloid
great! left side is 10 right side is 5n 10 = 5n can you try solving for n now?
anonymous
  • anonymous
I believe so
anonymous
  • anonymous
I think it would equal 0,2
Vocaloid
  • Vocaloid
10 = 5n n = ?
anonymous
  • anonymous
2
Vocaloid
  • Vocaloid
great! n = 2 going back to the original problem, m = n − 2 so what is m?
anonymous
  • anonymous
0
Vocaloid
  • Vocaloid
great! m=0 n=2 so what is (m,n)?
anonymous
  • anonymous
0,2
Vocaloid
  • Vocaloid
great, we're done!
anonymous
  • anonymous
yes

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