SOLUTION: how do we find the value of t ? 3t +4=T +13 with the workings I am very confused

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Question 700120: how do we find the value of t ? 3t +4=T +13
with the workings I am very confused

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming the problem is 3t%2B4=t%2B13 with the same variable t on both sides of the equal sign.
That makes it a little bit more complicated than equations with one variable on just one side,
but the same logic applies.

We can add or subtract the same number (or the same algebraic expression) to both sides of the equal sign,
and get an equivalent equation that is easier to solve.
3t%2B4=t%2B13 <--> 3t%2B4-t=t%2B13-t
The solutions to one of those equations work for the other equation,
we just transform one equation into the other going in the direction towards the easier one.
3t%2B4=t%2B13 --> 3t%2B4-t=t%2B13-t --> 3t-t%2B4=t-t%2B13 --> 2t%2B4=0%2B13 --> 2t%2B4=13
Probably your teacher would not require you to show all the steps I show above.
Going from the first one directly to the last one sounds OK to me.

Now we work with the easier equation, to get an even easier one.
2t%2B4=13 --> 2t%2B4-4=13-4 --> 2t=9

Multiplying or dividing both sides of the equal sign by the same non-zero number also yields an equivalent equation with the same solutions.
2t=9 --> 2t%2F2=9%2F2 --> highlight%28t=9%2F2%29 or highlight%28t=4.5%29 if you want/have to express it as a decimal.