Solve the equation. 3/2+t=1/2

Answer 1

In this equation, you should try to solve for the variable, "t". Let's break this out into steps!

Step 1: Try and get the variable to one side of the "=" sign, so we have the variable on one side, and everything else on the other.

Step 2: Simplify wherever possible

Step 3: Once you find "t", plug your answer back into the original equation to make sure we're correct! Here we go:

Step 1

3/2 + t = 1/2 can also be written as (3/2) + t = (1/2). If we subtract "(3/2)" from both sides, then we get:

(3/2) + t - (3/2) = (1/2) - (3/2)

Now, we have t on one side of the equation. t = (1/2) - (3/2)

Step 2

We can simplify this answer even further, and fortunately subtracting these fractions will be easy, as they have the same common denominator. We get:

t = (1/2) - (3/2) = - (2/2) = -1. So t= -1!

Step 3

Let's double-check our answer. Does "-1" work in the original equation?

(3/2) + (-1) = (1/2). We can re-write this as (3/2) - (1) = (1/2). If we want to subtract "1" from "3/2", we have to change "1" into a number with the same denominator as "3/2", meaning we need 1 to be re-written as "2/2".

Now we get (3/2) - (2/2) = (1/2), or (1/2) = (1/2). We found the correct value for t! It was "-1".

Answer 2

For equations containing fractions (rational equations), the easiest way for me is to get rid of the fractions by multiplying both sides of the equation by the common denominator of the fractions. In this case, since the denominators are both 2, they already have a common denominator so multiply both sides of the equation by 2.

(2)*(3/2+t)=(2)*(1/2)

6/2 + 2t = 2/2

3 + 2t = 1 (now subtract 3 from both sides)

2t = -2

t = -2/2

t = -1