Question

How do you do these?

Solve for s.
6/s = 2

Answer 1

s=3

Explanation:

So you have the equation:
`(6)/(s)=2`

If we multiply both sides by this "s" value we should maintain equality, and it conveniently cancels out our division by "s" on the left side giving us the following equation:
`6=2s`

The only "operation" on the value "s" is the coefficient of 2, which is multiplying the value of "s" by 2.

To undo this multiplication of 2, we simply divide by 2, since 2/2 = 1, and now we have a coefficient of 1 for the "s", which is the same as isolating "s"

But we want to divide both sides by 2 to maintain equality, so let's write out our expression

`(6)/(2)=(2s)/(2)\implies3=(2)/(2)*s\implies 3=s`

We can double check this by plugging in this value for "s" in the original equation:
`s=3, \ (6)/(s)=2\implies (6)/(3)=2\implies 3=3` which is indeed true, so we have our solution!