Verify the equation 2y+30=8y

In summary, if you plug in 5 for y in the equation 2y+30=8y, you will get the same result as if you substituted 10 for y.
  • #1
Rubies
13
0
Homework Statement
How to verify 2y+30=8y?
Relevant Equations
2y+30=8y
8y-2y=6y
6 y+30
6y/6=30/6
Y=5
Now how can I verify this equation?
 
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  • #2
Rubies said:
Problem Statement: How to verify the question?
Relevant Equations: 2y+30=8y

8y-2y=6y
6 y+30
6y/6=30/6
Y=5
Now how can I verify this equation?

Plug in ##y =5## and see whether you have equality.
 
  • #3
Rubies said:
Problem Statement: How to verify the question?
Relevant Equations: 2y+30=8y

8y-2y=6y
6 y+30
6y/6=30/6
Y=5
Now how can I verify this equation?
What you're verifying is your solution. To do this, substitute the value you found for y into the original equation. By doing so, you should end up with a true statement, such as 7 = 7 for example.

Your work is not well organized. Each line of your work should be an equation.
Start with the equation
2y + 30 = 8y
Add -2y to both sides: ##30 = 8y + (-2y)##
Combine the terms on the right: ##30 = 6y##
Divide both sides by 6: ##5 = y##, or ##y = 5##

Check (verify your solution) by substituting 5 for y in the original equation.
 
  • #4
So
I plunged in 5 to 6 or 6*5=30
30=30
Is it correct anyone
 
  • #5
Rubies said:
So
I plunged in 5 to 6 or 6*5=30
30=30
Yes. That verifies that 5 is a solution of the equation 2y + 30 = 8y.
 
  • #6
Million thanks,to professionals in Science and Mathematics,who give up their time and help pupils like myself.:smile:
 
  • #7
Rubies said:
Million thanks,to professionals in Science and Mathematics,who give up their time and help pupils like myself.:smile:
You're very welcome, but take a good look at what I wrote in post #3 about organizing your work.
 
  • #8
Rubies said:
So
I plunged in 5 to 6 or 6*5=30
30=30
Is it correct anyone
Actually, you should substitute your solution into the equation you were given to solve initially.

That is to say, substitute 5 for y in the equation: 2y +30 = 8y .

Verify that what you then obtain for the left hand side is equal to what you obtain for the right hand side.
 
  • #9
Rubies said:
Problem Statement: How to verify 2y+30=8y?
Relevant Equations: 2y+30=8y

8y-2y=6y
6 y+30
You mean "6y= 30"

6y/6=30/6
Y=5
Now how can I verify this equation?
2(5)+ 30= `10+ 30= 40
8(5)= 40.
Yes, those are the same.
 
  • #10
No need making this so complicated.
Equation in one variable given.
Solve equation.
Put solution value (substitute) into original equation.
Does the solution work? Either yes or no.Post #1 seems to now be adjusted to fit the expected homework help format.
 
  • #11
symbolipoint said:
...

Post #1 seems to now be adjusted to fit the expected homework help format.
However, it seems to me that it's the solution that's to be verified, rather than the equation. (A point of view consistent with your post.)
 

1. How do you verify an equation?

To verify an equation, you need to check if both sides of the equation are equal when you substitute the given values for the variables. In this case, we can substitute any value for y and check if the equation holds true.

2. What does the equation 2y+30=8y mean?

This equation means that the sum of 2 times y and 30 is equal to 8 times y. In other words, it is saying that the value of y is such that when multiplied by 2 and added to 30, it is equal to y multiplied by 8.

3. How do you solve the equation 2y+30=8y?

To solve this equation, we need to isolate the variable y on one side of the equation. We can do this by subtracting 2y from both sides, which gives us 30=6y. Then, we divide both sides by 6, and we get y=5 as the solution.

4. Can you verify an equation with multiple variables?

Yes, we can verify an equation with multiple variables by substituting values for all the variables and checking if both sides of the equation are equal. However, the number of variables should be equal to the number of equations to have a unique solution.

5. What if the equation does not hold true when verified?

If the equation does not hold true when verified, it means that the given values for the variables do not satisfy the equation. In other words, there is no solution for the equation with those particular values. We may need to try different values or check if there is an error in the given equation.

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