Solve for Y: Linear Equation 8y - 31 = 13 - 3y | Correct Answer Y = 8.8

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Homework Help Overview

The discussion revolves around solving a linear equation, specifically 8y - 31 = 13 - 3y. Participants are examining the correctness of the solution and the steps taken to arrive at the answer.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the steps taken to solve the equation, particularly the operations performed on both sides. There are discussions about checking the validity of the proposed solutions by substituting values back into the original equation.

Discussion Status

The discussion is active, with participants providing feedback on the original poster's calculations and suggesting that they clarify their steps. There is an acknowledgment of errors and a focus on understanding the correct approach to solving the equation.

Contextual Notes

There are indications of confusion due to typographical errors in the calculations, and participants are encouraged to show their work to facilitate better guidance.

Gringo123
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Have I got this linear equation right?

8y - 31 = 13 - 3y

My answer is y = 8.8
 
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Plug the value you got into the equation and check to see.
 
Gringo123 said:
Have I got this linear equation right?

8y - 31 = 13 - 3y

My answer is y = 8.8
Your answer is incorrect. Show us how you got your solution and we can steer you in the right direction.
 
Gringo123, I suspect you subtracted 3y from both sides when you should have added it.

But whenever you ask someone to check your answer, you should always show how you got it.
 
Hi Mark. Thanks for helping me out... again!

1st I added 31 to both sides which left me with:
8y = 44 + 3y
From this I could see that 44 = 5y (5y + 3y = 8y)
44 / 5 = 8.8
 
Gringo123 said:
Hi Mark. Thanks for helping me out... again!

1st I added 31 to both sides which left me with:
8y = 44 + 3y
From this I could see that 44 = 5y (5y + 3y = 8y)
44 / 5 = 8.8


It should be "-" not "+".
Why did you change this sign?
 
Once again I've confused everyone with a typo. The original problem is:
8y - 31 = 13 - 3y
I added 31 to both sides:
8y = 44 - 3y
Then I add 3y to both sides:
11y = 44
and I get the right answer, y = 4
Iy was a silly little error on my part. Thanks everyone.
 
It's easier to check for yourself if you have the correct answer or not.

Since you at first found y=8.8, this means if you plug that value in for y in the equation 8y-31=13-3y then you should find that the left-hand side equals the right-hand side. But this isn't true, which means you've made a mistake somewhere. Plugging in y=4 however will make both sides equal, which means you have found the correct value.

This can be for your quadratics as well.
 

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