Question

Write a system of equations for the following situation.

Sharon has some $1 bills and some $5 bills. She has 14 bills which total to a value of $30.

Answer 1

let $1 = x and $5 = y ok?
so 1x + 5y = 30
now that is one equation

Answer 2

right

Answer 3

any idea what the 2nd one is?

Answer 4

14x+14y=30?

Answer 5

x + y = 14

Answer 6

now we use a method to find x and y?
which do you like ^^
elimination?
substitution?

Answer 7

the 1st one

Answer 8

awsome (so much easier)
x + 5y = 30
x + y = 14
we subtract x from x vertically.
4y = 16

Answer 9

y=4

Answer 10

now i hope you can figure it out.
once you find y sub y into the equation

Answer 11

isnt that for the substitution method?

Answer 12

nope

Answer 13

we use the elimination then we sub y into the equation

Answer 14

if we did substitution we would make y the subject then get y THEN we would sub y into equation to get x

Answer 15

which equation should i plug the 4 in for y?

Answer 16

any :)

Answer 17

x + y = 14 would just be easier though

Answer 18

ok ill go for that.

I got 10 for x

Answer 19

good so we can conclude x = 10 and y = 4

Answer 20

srry i didn't get the 2nd equation when u asked :(

Answer 21

mhm what equation?

Answer 22

x + y = 14?

Answer 23

yea

Answer 24

well there is some $1 and $5 bills yea... and they add to 14.
we said that $1 is x and $5 is y.
so x + y is equal to 14.

Answer 25

ok

Answer 26

thank you!!