# How do you solve for n? n/33=19 n/33 = 19

First you must isolate the variable(get n by itself).  n/33 means n divided by 33.  In order to get n by itself you must multiply n/33 by 33/n (you flip it and multiply).  This will cancel out the 33 and leave n by itself on that side of the equation.  And what you do to one side of an equation, you must do to the other side of the equation - 33 x 19, which will equal 627.

n/33 = 19

33/n x n/33 = 33 x 19

n = 627

Approved by eNotes Editorial Team n/33 =19

In these basic equations, you can simply ask yourself, what number when divided by 33 will give you 19. If you can't think of what that is, think of a simpler question.

Take the equation n/2 = 5. What number when divided by 2 equals 5? Well... 10 divided by 2 will give you 5. Right? How could you get 10, using the numbers 5 and 2? You can multiply.

Let's go back to your problem: n/33=19. We will simply multiply the numbers 33 and 19. Multiplication is the opposite of division (which is the operation in your problem). To solve any equation, you do the opposite of what is there to solve it.

Approved by eNotes Editorial Team In math x, y, n, or any other letter stands for a variable. A variable is an unknown quantity that represents some actual number (or numbers), but we often don't know what it is yet.

In an equation, both sides of the equal sign represent the same number, once all the math is done. So saying n/33 = 19 is the same as saying 19 = 19; we just don't know yet what number n divided by 33 equals 19.

An equation is like a see-saw: if an extra person gets on one side, then someone who weighs the same has to go on the other side to keep the see-saw level. So you can add, subtract, multiply, or divide any number to one side of the equation as long as you do the exact same thing to the other side.

So, to solve for n in n/33=19, we want to get n all alone on one side.

n/33 = 19

33*n/33 = 19*33            Multiply both sides by 33

1*n = 627                     33 divided by 33 equals 1

n = 627

And you can check: n/33 = 19 --> 627/33 does equal 19