SOLUTION: MENTAL BLOCK! I need to come up with a scenario that shows no solution for system of Linear Equations. Here is the question: Write a linear system of equations that has n

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: MENTAL BLOCK! I need to come up with a scenario that shows no solution for system of Linear Equations. Here is the question: Write a linear system of equations that has n      Log On


   



Question 939708: MENTAL BLOCK!
I need to come up with a scenario that shows no solution for system of Linear Equations.
Here is the question:
Write a linear system of equations that has no solution. Represent it geometrically.
Describe in words a situation that could be modeled by this system.
I can show it geometrically (graph not attached) and algebraically (1x +2y = 28 and 1x +2y = 34) but I can not for the life of me come up with a scenario.
I will show you my work for one and infinite solutions:
one solution-
15x + 7y = 55.40
12x + 10 = 61.70
Jasmine bought 15 boxes of paper clips and 7 packages of index cards for a total cost of $55.40. Lucia bought 12 boxes of paper clips and 10 packages of index cards for a total cost of $61.70. Find the cost of one box of paper clips and the cost of one package of index cards.
infinite soltions
3x -2y = 5
12x – 8y =20
Bob bought 3 apples and returned 2 boxes of rice at Slick Steve’s. Without making any other transactions he left the store. John when to Cheapskate Charlie’s and bought 12 apples and returned 8 boxes of rice and left the store with 20 dollars in his hand. Which store has the best prices?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Bill and Steve decide to spend the afternoon at an amusement park enjoying their favorite activities, the water slide and the gigantic Ferris wheel. Their tickets are stamped each time they slide or ride. At the end of the afternoon they have the following tickets:
Fun Time Amusements:
Bill's Ticket
Water Slide-w: stamped three times
Ferris Wheel-f: stamped one time
Total: $17.70

Steve's Ticket
Water Slide-w: stamped six times
Ferris Wheel-f: stamped two times
Total: $31.1

How much does it cost to ride the Ferris Wheel?
How much does it cost to slide on the Water Slide?
3w+%2B+f+=+17.70
6w+%2B+2f+=+31.1
_________________________

3w+%2B+f+=+17.70....multiply by 2
6w+%2B+2f+=+31.1
_________________________________
6w+%2B+2f+=+2%2A17.70
6w+%2B+2f+=+31.1
__________________________________subtract

6w+%2B+2f+-6w-2f=+35.4-31.1
6w++-6w%2B+2f-2f=+35.4-31.1
0%3C%3E4.3 =>shows no solution for system