Have I rearraged this formula correctly?

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Homework Help Overview

The problem involves rearranging the equation 3(2m - t) = 2t + 7 to make m the subject. Participants are discussing their attempts and the correctness of their rearrangements.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are sharing their attempts at isolating m, with one participant providing a step-by-step breakdown of their reasoning. There are questions about the correctness of the rearrangements and the simplification of terms.

Discussion Status

There is an ongoing examination of the steps taken to rearrange the formula. Some participants are questioning the accuracy of the calculations and the placement of parentheses, while others are providing feedback on the attempts made.

Contextual Notes

Participants are discussing potential misinterpretations of the equation and the importance of correctly applying mathematical operations. There is a focus on ensuring clarity in the rearrangement process.

Gringo123
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I have to make m the subject:

3(2m - t) = 2t + 7

This is my attempt:

m = (0.5t + 3.5 / 1.5) + 0.5t
 
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Gringo123 said:
I have to make m the subject:

3(2m - t) = 2t + 7

This is my attempt:

m = (0.5t + 3.5 / 1.5) + 0.5t

Could you please show each step?
 
sure
3(2m - t) = 2t + 7
move the 3 to the left side

2m - t = 2t + 7 / 3

move the -t to the left side
2m = (2t + 7 /3) +t

divide both sides by 2
m = (t + 3.5 / 1.5) +0.5t

and I realize this is slightly different to the 1st solution that I put up. 2t / 2 is of course t, not 0.5t.

Anyway, is it right?
 
No, it's not right. When you divide 7/3 by 2 you should get 7/6, not 3.5/1.5, which is equal to 7/3.

BTW, You really ought to learn which is left and which is right...

Also, in your second equation, the right side should have parentheses:
2m - t = (2t + 7)/3

In the following line you added parenthese, but they are not where you need them. This equation should be written like so:
2m = (2t + 7)/3 +t

Finally, the expression you have for m, besides being incorrect, should be written more simply, with the t terms combined.
 

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