Question 20369
Hello There:

10 = t/66 + 9

Solving for t means that we manipulate this equation so that t is all by itself on one side of the equals sign.

To start, let's get rid of the 9 on the right side by subtacting it.  Of course, whatever arithmetic operation we do to one side of an equation we must do to both sides.

10 - 9 = t/66 + 9 - 9

1 = t/66

If we multiply t/66 by 66 we will get (66/66)*t.  66/66 is equal to 1, so that will isolate t all by itself.  As usual, we must multiply BOTH sides by 66.

1*66 = (66/66)*t

This simplifies to:

66 = t

Let's check our answer by substituting 66 for t in the original equation to see if we get a true statement.

10 = t/66 + 9

10 = 66/66 + 9

10 = 1 + 9

10 = 10

This is a true statement, so our answer is correct.

~ Mark