Can You Solve These Easy Algebra Problems?

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Homework Help Overview

The discussion revolves around solving a system of linear equations related to the costs of shirts and ties. Participants are working with two equations derived from given cost information for multiple items.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants suggest forming two equations based on the costs of shirts and ties, using variables to represent the unknown prices. There is discussion about the potential for graphical representation and the implications of having multiple solutions. Some participants express uncertainty about how to proceed with two variables after forming the equations.

Discussion Status

Several participants have provided their interpretations and calculations, with some arriving at specific values for the costs of the items. There is an ongoing exploration of the equations and their solutions, but no explicit consensus has been reached regarding the correctness of the values suggested.

Contextual Notes

One participant notes that the original problem statement has been edited, which may affect the context of the discussion. There are also indications of confusion regarding the number of solutions and the method of solving the equations.

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EDIT: Problem Solved, please delete.
 
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How do you determine cost? Total cost is the sum of the individual item costs. You will have two linear equations and two unknown numbers. Your variables are the price of the shirt and the price of the tie.
 
Make two equations. Let X be the cost of a shirt, and Y be the price of a tie, or use whatever variables you want. You have enough information to write two equations keeping your two prices as two variables.

Below are the important sentences you turn into equations.

6 shirts and 3 ties cost $79.50
3 shirts and 2 ties cost $41
 
flatmaster said:
Make two equations. Let X be the cost of a shirt, and Y be the price of a tie, or use whatever variables you want. You have enough information to write two equations keeping your two prices as two variables.

Below are the important sentences you turn into equations.

6 shirts and 3 ties cost $79.50
3 shirts and 2 ties cost $41

Wouldn't that turn into a graph though? There's three answers to choose from.

A.) $10.00
B.) $11.00
C.) $12.00

So I did the math and I got 6x+3y=79.50 and 3x+2y =41. Then I got 3x+y=38.50, and I don't know how to go from there since there are two variables.
 
Okay this is what I got. Each shirt costs 12 dollars and plugged it in and it seemed to work. 3shirts + 2 ties = 41, so 3x12 + 2x2.50 = 41, 36+5= 41.

So is $12.00 right?
 
6x + 3y=79.5
3x + 2y=41

Now, I mulitply the second equation by (-2), so that I got:

6x+3y=79.5
-6x-4y=-82

Out of there:
-y=-2.5
One tie costs ($):
y=2.5
One shirt costs($):
6x + 3*2.5=79.5
6x = 72
x=12

Regards.
 
The initial posting was altered; post #1 was changed and the original message is gone in that posting (except for a quote from the original).
 
Last edited:

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