Question

I need help plesasee

Answer 1

The value of k is:

`k=4`

Explanation:

The equation is as such:

`(6)/(2k-6)=3`

Step 1: Make 2k-6 the subject

`(6)/(2k-6)=3\\\\\text{Multiply by}~2k-6~\text{on both sides of the equation:}\\(6)/(2k-6)*(2k-6)=3*(2k-6)\\\\\text{Cancel the two expressions}~2k-6~\text{that are being divided by each other:}\\6=3*(2k-6)\\\\\text{Divide by}~3~\text{on both sides of the equation:}\\(6)/(3)=(3*(2k-6))/(3)\\\\\text{Simplify:}\\2=2k-6`

Step 2: Make k the subject:

`2=2k-6\\\\\text{Add}~6~\text{on both sides of the equation:}\\2+6=2k-6+6\\\\\text{Simplify:}\\8=2k\\\\\text{Divide by}~2~\text{on both sides of the equation:}\\(8)/(2)=(2k)/(2)\\\\\text{Simplify:}\\4=k\\\\\text{Thus:}\\k=4`