Question

Kyle and Myles wanted to buy the soccer team food after the game.
Kyle bought 5 hotdogs and 3 French fries, which costs him $14.50. Myles bought 4 hotdogs and 2 French fries, which totaled as $11.00. How much does 1 hotdog cost?
Walkthrough your answer by showing your work

Answer 1

do you know how to make the equations for this?

Answer 2

no i dont :(

Answer 3

i will probably catch on once i get some help

Answer 4

okay, so, let's first name the variables
which two things do you think will be our x adn y

Answer 5

x= hotdogs y=fries ??

Answer 6

yes lol

so, here
it says 5 hot dogs and 3 french fries costs 14.50 dollars
how would you put that into an equation

Answer 7

5x+3y= 14.50 omg i see it now

Answer 8

loll, ye
and for teh second one?

Answer 9

4x+2y=11.00

Answer 10

yesssss
so now that you got the equations
5x+3y=14.5 and
4x+2y=11

do you want to use the substitution method, elimination, or graphing
(graphing is easier, but teachers want you to be able to solve it yourself, so if you know how to do it, just graph it lol)

Answer 11

actually im lost, how do i isolate the variable

Answer 12

ohhh, okay
then we'll do the substitution method
do you want to first solve for x or y?

Answer 13

x

Answer 14

okay, then for the first equation, we first isolate the y
5x+3y=14.5
3y= -5x + 14.5
y= -5/3 x + 29/6
this is going to be messy -_-
but do you follow?

Answer 15

so in regular stuff
like x+ y = __
and x - y= ___
first isolate the y, to y=____
then put the y value in, and substitute it into the second equation, that's why it's called the substitution method

Answer 16

and because it's going to be more confusing to do substitution in this than elimination, you should learn the elimination in this one lol

5x+3y=14.5 and
4x+2y=11

since you're solving for x, you want to eliminate the y
so, multiply the top equation, all, by 2, and the bottom equation, all, by 3

Answer 17

okay im up to y= -5/3 -*y* how did you get 29/6

Answer 18

bc i did 14.5/3
and tehn did 145/30
and then simplified lol
and bc of the weird numbers... that's why substitution for this one will be too confusing-_- lol

Answer 19

i got -4.83 repeating is that right? for 14,50/3

Answer 20

....no
14.5/3...
how'd you get a negative lol

Answer 21

also, bc it keeps on going on, you keep it in a fraction

Answer 22

because you moved the 3y to one side by subtracting.. then to get it by itself you divude by -3

Answer 23

but the 14.5 is still positive

Answer 24

how? dont you divide the entire equatioin by -3? so it would be 5x+3y=14.50
-3y= 5x+14.50
then divide all of it by -3 to get the y variable by itself
y= -5/3 -14.50/3 or -4.83

Answer 25

O-O
i am confused at what you're doing
5x+3y=14.5
3y = -5x + 14.5
^^
stays positive

Answer 26

oh actually i see how to do it: i subsitute 0 for a variable: 5x+3(0)=14.50

5x=14.50
x=2.90 for Kyles purchase

4x+2(0)=11.00
4x=11.00
x= 2.75 for myles

Answer 27

i-
no lol

Answer 28

no im wrong
this is the problem (i changed the names)

Answer 29

ummm, how about we just graph it
graph the two equations that you wrote in desmos
and fidn the coordinate in which they intersect
(x,y)
x is hot dogs
y is french fries

Answer 30

i didnt write in desmos?

Answer 31

ik you didn't

Answer 32

... im lost

Answer 33

the point in intersection (x,y)
in this case (2,1.5)
so, x is 2, which is hot dogs, so 2 dollars
y is 1.5 dolalrs, french fries

Answer 34

wait how you know its 2 dollars for the hotdogs?? im trying to solve for that? @jhonyy9

Answer 35

because i graphed it...
and when you put in two linear equations... teh point in intersection is where you find the x and teh y

Answer 36

for kyle, the total for both the 5 hotdogs and 3 fries was 14.50. For Myles, the total for 4 hotdogs and 2 fries was 11.00. my question wants to know the price for one. im dont understand how the graph answer matches my answer choices'

Answer 37

5x +3y = 14,50
4x +2y = 11

solve this system for x and y

Answer 38

@artlover03 is offline

Answer 39

\(\color{#0cbb34}{\text{Originally Posted by}}\) @artlover03
for kyle, the total for both the 5 hotdogs and 3 fries was 14.50. For Myles, the total for 4 hotdogs and 2 fries was 11.00. my question wants to know the price for one. im dont understand how the graph answer matches my answer choices'
\(\color{#0cbb34}{\text{End of Quote}}\)
bc hot dog is x.... french fries is y...
x is 2, y is 1.5
so, 2 dollars and 1.50 dollars

Answer 40

ok but then why he/she asked it - posted it above newly ?

Answer 41

?

Answer 42

\(\color{#0cbb34}{\text{Originally Posted by}}\) @artlover03
for kyle, the total for both the 5 hotdogs and 3 fries was 14.50. For Myles, the total for 4 hotdogs and 2 fries was 11.00. my question wants to know the price for one. im dont understand how the graph answer matches my answer choices'
\(\color{#0cbb34}{\text{End of Quote}}\)
here is