Having trouble w/algebra. Please help & explain: Solve for n. 5n + 1 = 5n - 1.

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

5n + 1 = 5n -1\

First you need to group similar terms together. In other words, group n terms together on one side, and the constant terms on the other sides:

5n - 5n = -1-1

0 = -2

Then the equation has no soution. Or, there are no n values such that 5n-1 = 5n+1

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

5n+1=5n-1 is to be solved.

Solution:

 Given: 5n+1 = 5n-1.

Subtract 5n from both sides:

5n+1-5n = 5n-1-5n.

1 = -1 which is not consistent.

So the given equation  is not consistent and n has no solution.

For no value of n the equation is satisfied (or  could be verified.)

krishna-agrawala's profile pic

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

Given:

5n + 1 = 5n - 1

In this equation if we subtract 5n from both sides we get:

5n - 5n + 1 = 5n - 5n - 1

==> 1 = - 1

As +1 cannot be equal to -1, it is clear that the given equation is not properly balanced. Therefore, the equation has no solution.

crystaltu001's profile pic

crystaltu001 | Student, Grade 10 | (Level 1) Valedictorian

Posted on

5n + 1 = 5n - 1

First thing you have to do is subtract 1 on both sides 

5n + 1 = 5n - 1

     -1           -1

Then you will get 5n = 5n -2

Then you subtract 5n from both of the sides

And you will get 0 = -2

So the answer will be no solution

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

5n + 1 = 5n - 1

First subtract 1 on both sides

By subtracting, your equation should look like

5n = 5n - 2 now subtract 5n on both sides

By subtracting, your equation should look like

0 = 2 since 0 does not = to 2

Then, your answer is no solution

acompanioninthetardis's profile pic

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

Posted on

There would be no solution in this case because if you try to isolate the n by itself then the n just ends up cancels itself out. Like 5n-5n is 0. Therefore we have no solution

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manager25 | Student, Grade 9 | (Level 2) eNoter

Posted on

n. 5n + 1 = 5n - 1.

n.5n is the same as nx5n (n multiply by 5n)

so n.5n = 5n^2 (5 n power 2)

n. 5n + 1 = 5n - 1.

5n^2 +1 = 5n -1

5n^2 - 5n +1 +1 = 0

5n^2 - 5n +2 = 0

cant factorise cause there is a problem somewhere in yr equation

lit24's profile pic

lit24 | College Teacher | (Level 3) Valedictorian

Posted on

To find the value of  n in the equation

5n+1 = 5n-1

by simplifying we get

5n-5n = -1 -1

0 = -2

Therefore, the given equation has no solution.

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