Question

Please help! Make a scenerio for me. Its 11 o'clock, im tired, & i haven't even eaten yet! Pleaseeeeeee! I need it soon too because i cant exit out of the test either or i will have to do all 20+ questions all over again.

Part 1:
For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 10
3x + 4y = 25

Answer 1

let's say you have pencils and pens

Answer 2

let

x = cost per pencil
y = cost per pen

if you have 2 pencils and 1 pen, and the total cost is $10, then

2x + y = 10


if you have 3 pencils and 4 pens, and the total cost is $25, then

3x + 4y = 25

Answer 3

so that would give you the system

2x + y = 10
3x + 4y = 25

Answer 4

let's solve for x and y

Answer 5

2x + y = 10

y = 10 -2x

----------------

3x + 4y = 25

3x + 4(10-2x) = 25

3x + 40 - 8x = 25

-5x+40=25

-5x=25-40

-5x=-15

x=(-15)/(-5)

x=3

y = 10 - 2x

y = 10 - 2(3)

y = 10 - 6

y = 4


So each pencil costs $3 and each pen costs $4 each

Answer 6

thank you sooooo much. I can go to bed after one more question. Can ya help?

Answer 7

sure just one more though

Answer 8

promise!

Answer 9

You graph a system of equations and the two lines intersect one another. Explain what this tells you about the:

solution to the system
the two equations
the result if the system was solved algebraically

Answer 10

go for it

Answer 11

there is exactly one solution

this is because a solution corresponds to where the two lines cross

Answer 12

they cross at exactly one point, so there is exactly one solution

Answer 13

this means that the system of equations are independent and consistent

Answer 14

was that all you needed?

Answer 15

uhm could you rephrase that as
1. ( )
2. ( )
3. ( )

Answer 16

1. exactly one solution

2. the system of equations are independent and consistent

3. one result because there is only one solution

Answer 17

the reasoning is explained above

Answer 18

thanks so much. Thats all i need. You were so helpful, im definitely becoming a fan. Now i can eat and go to bed. Goodnight and once again thank you sooo much

Answer 19

good night, yw