Question

Solve For N . No ones been able to help me out with this question so far

Answer 1

\[k=\frac{ 6n-5 }{ 4}\]

Answer 2

step 1: multiply both sides by 4
what do you get ?

Answer 3

First, you multiply both sides of the equation. the k does not go away

to multiply, write times 4 next to each term:
\[ 4\cdot k=\frac{ 6n-5 }{ 4} \cdot 4 \]

Answer 4

now as you know, 4 divided by 4 is 1. the right side simplifies.

Answer 5

im lost how would this look like ?

Answer 6

when you multiply fractions, you multiply top times top and bottom times bottom
\[ 4\cdot k=\frac{ 6n-5 }{ 4} \cdot 4 \\
4\cdot k=\frac{ 6n-5 }{ 4} \cdot \frac{4}{1} \\
4\cdot k=\frac{ (6n-5)\cdot 4 }{ 4 \cdot 1} \\
4\cdot k=\frac{ (6n-5)\cdot 4 }{4}
\]

notice you can simplify the fraction by "canceling" the 4's

Answer 7

\[\frac{ 6k-5 }{ 4 }= n ? \]

Answer 8

you can't just write down an expression

Do you know this rule (with numbers, but it works with letters)

you know
\[ \frac{12}{4} =3 \]
12 is 3*4, so we could write this problem as
\[ \frac{ 3\cdot 4 }{4} = 3 \]
notice that 4 divided by 4 is 1, so we can "cancel" the 4/4
\[ \frac{3 \cdot \cancel{4}}{\cancel{4}}=3\]
we use that same idea with your problem
\[ 4\cdot k=\frac{ (6n-5)\cdot 4 }{4} \]
the right side simplifies

Answer 9

4*k is written (in algebra) as 4k
but 4k means the same thing... 4 times k
on the right side, another way to write it is
\[ (6n-5)\cdot \frac{4}{4} \]
which should make it more clear how to simplify it

Answer 10

how would i mulityply the equation and the fraction ?

Answer 11

so far you have
\[ 4k = (6n-5) \cdot \frac{4}{4} \]
I would simplify 4/4 to 1 and then multiply (6n-5) * 1 which is just 6n-5

Here is an example of how to do this type of problem
http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/example-of-solving-for-a-variable

Answer 12

so was the equation

Answer 13

You started with
\[ k=\frac{ 6n-5 }{ 4} \]
after multiplying both sides by 4 you get
\[ 4k = \frac{ 6n-5 }{ 4} \cdot 4 \\
4k = \frac{ 6n-5 }{ \cancel{4}} \cdot \cancel{4}\\
4k =6n-5 \]

Answer 14

Your next step is to now add + 5 to both sides

Answer 15

Here is another example you might want to watch
http://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/solving-for-a-variable-2

Answer 16

can you show your work ?