Question

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?

Answer 1

I will give medals!

Answer 2

Use substituion

Answer 3

By the first equation what is n in terms of m?

Answer 4

\[\huge~(3m + 7)– 2m = 1\]

Answer 5

I put equation 1 into equation 2

Answer 6

Now solve that :)

Answer 7

What do I do next?

Answer 8

Solve that get the m value then plug the m value into equation 1

Answer 9

how can I combine the like terms?

Answer 10

I dont know what to do

Answer 11

3-2=?

Answer 12

1

Answer 13

1m+7=1
subtract 7 from both sides

Answer 14

1m= -6

Answer 15

good now divide :)
-6/1=?

Answer 16

-6

Answer 17

good so we have m=-6
n=3(-6)+7

Answer 18

-18=7 ?

Answer 19

no
-18+7-?

Answer 20

-11

Answer 21

good so we have
m=-6
n=-11

Answer 22

but whats the answer then?

Answer 23

Well thats for u to figure out. We did all the work
\[\huge~m=-6~~~~~~ n=-11\]

Answer 24

okay can u help me with one more?

Answer 25

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