When you have a fraction like this, just know that the denominator does not matter. The numerator does because 0/any number = 0.
There are many ways to solve this:
Distribute
[tex]\frac{3n-57}{5} =0
[/tex]
[tex] \frac{3n-57}{5} *5=0*5
[/tex] << the 5/5=1
[tex]3n-57=0[/tex] << add 57 to both sides
[tex]3n=57[/tex]
[tex] \frac{3n}{3} = \frac{57}{3} [/tex] << divide 3 on both sides
57/3=19
OR
Pretend that n-19 = a
[tex] \frac{3a}{5} =0[/tex]
Multiply 5 on both sides, so you get 3a=0. Then, you divide 3 on both sides.
a=0.
DO NOT FORGET, n-19 = a.
So, n-19=0.
Isolate n by adding 19 to both sides, and
n=19.
