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

In summary, the conversation is about a person asking for help with a linear equation and providing their solution of y=8.8. However, it is pointed out that this answer is incorrect and they are asked to show their work. The person realizes they made a mistake and the correct solution is y=4. The importance of checking your answer is also emphasized.
  • #1
Gringo123
141
0
Have I got this linear equation right?

8y - 31 = 13 - 3y

My answer is y = 8.8
 
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  • #2
Plug the value you got into the equation and check to see.
 
  • #3
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.
 
  • #4
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.
 
  • #5
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
 
  • #6
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?
 
  • #7
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.
 
  • #8
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.
 

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

1. What is a linear equation?

A linear equation is an algebraic equation with two variables, typically represented as y = mx + b, where m is the slope and b is the y-intercept. It represents a straight line on a graph.

2. How do you solve for y in a linear equation?

To solve for y in a linear equation, you need to isolate the y variable on one side of the equation by using inverse operations. In this case, we can add 3y to both sides and then divide by 11 to get y = 8.8.

3. What is the correct answer for y in this equation?

The correct answer for y in this equation is 8.8. This can be verified by substituting 8.8 for y in the original equation and seeing if it satisfies the equation.

4. What is the role of the coefficient in a linear equation?

The coefficient, represented by the letter m, is the slope of the line in a linear equation. It determines the steepness of the line and can also indicate whether the line is increasing or decreasing.

5. Can a linear equation have more than one solution for y?

Yes, a linear equation can have infinitely many solutions for y. This occurs when the equation represents a line that passes through all points on a graph, such as y = 2x + 3. However, in some cases, there may be no solutions or a single unique solution.

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