How do you solve #\frac { 6} { r } = 2#?

1 Answer
Teun
Dec 19, 2016

#r = 3#

Explanation:

To solve for a certain variable in an equation you need to isolate the variable in question. When solving equations it is allowed to perform an operation as long as you perform it on both sides of the equation.

So first we multiply by #r/1# to cancel the #r# on the left side and to move the #r# to the right.

#6/r * r/1 = 2 * r/1#

#(6cancelr)/cancelr = 2r#

Now we can divide both sides by #2# or multiply by #1/2# to leave the #r# isolated on the right side.

#6*1/2 = 2r * 1/2#

#6/2 = (cancel2r)/cancel2#

#r=3#

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