Question

Solve for x. Express the answer in simplest form,

Answer 1

In order to solve for x, you need to isolate the x on one side. First, you need to multiply the 5 onto the other side to get rid of the fraction. Then, just add 1 and divide by 6 to isolate the x (steps will be shown below):


`(6x-1)/(5)=(3)/(1)\\5((6x-1)/(5))=5(3)\\6x-1=15\\6x-1+1=15+1\\6x=16\\6x/6=16/6\\x=(16)/(6)=(8)/(3)`

So, x = 8/3

Answer 2

`(6x-1)/(5)=(3)/(1) \ \ \ |\hbox{cross multiply} \\ 6x-1=3 * 5 \\ 6x-1=15 \\ 6x=15+1 \\ 6x=16 \\ x=(16)/(6) \\ x=(8)/(3) \\ x=2(2)/(3)`