Kitkat1
  • Kitkat1
A system of equations is shown below: n = 3m + 7 n – 2m = 1 What is the solution, in the form (m, n), to the system of equations?
Mathematics
katieb
  • katieb
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Kitkat1
  • Kitkat1
I will give medals!
pooja195
  • pooja195
Use substituion
anonymous
  • anonymous
By the first equation what is n in terms of m?

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More answers

pooja195
  • pooja195
\[\huge~(3m + 7)– 2m = 1\]
pooja195
  • pooja195
I put equation 1 into equation 2
pooja195
  • pooja195
Now solve that :)
Kitkat1
  • Kitkat1
What do I do next?
pooja195
  • pooja195
Solve that get the m value then plug the m value into equation 1
Kitkat1
  • Kitkat1
how can I combine the like terms?
Kitkat1
  • Kitkat1
I dont know what to do
pooja195
  • pooja195
3-2=?
Kitkat1
  • Kitkat1
1
pooja195
  • pooja195
1m+7=1 subtract 7 from both sides
Kitkat1
  • Kitkat1
1m= -6
pooja195
  • pooja195
good now divide :) -6/1=?
Kitkat1
  • Kitkat1
-6
pooja195
  • pooja195
good so we have m=-6 n=3(-6)+7
Kitkat1
  • Kitkat1
-18=7 ?
pooja195
  • pooja195
no -18+7-?
Kitkat1
  • Kitkat1
-11
pooja195
  • pooja195
good so we have m=-6 n=-11
Kitkat1
  • Kitkat1
but whats the answer then?
pooja195
  • pooja195
Well thats for u to figure out. We did all the work \[\huge~m=-6~~~~~~ n=-11\]
Kitkat1
  • Kitkat1
okay can u help me with one more?
Kitkat1
  • Kitkat1
A pencil at a stationery store costs $1, and a pen costs $1.50. Stella spent $21 at the store. She bought a total of 18 items. Which system of equations can be used to find the number of pencils (x) and pens (y) she bought? (5 points) 1.5x + y = 21 x = 18y 18x + y = 21 x = 1.5y x + 1.5y = 21 x + y = 18 x + 18y = 21 x = 1.5y

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