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Andru [333]
3 years ago
8

Um help! how do I do this?

Mathematics
2 answers:
valkas [14]3 years ago
5 0
1/2 t-4(2+t)=20
1/2 t-8-4t=20
least common multiple=2
t-16-8t=40
-7t=40+16
-7t=56
t=56/-7=-8

Answer: t=-8

To check
-8/2 - 4(2-8)=-4-4(-6)=-4+24=20
Jlenok [28]3 years ago
4 0
You do it just exactly as the question says:  Take one choice,
substitute it in place of 't' in the given equation, and see if the
equation becomes a true statement.

I'll do 'A' for you:

Does 't' = 8 ? 
Let's see.
If it does, then             (1/2) (8)  -  4(2 + 8)  =  20

                                     (     4    )  -  4(  10  )  =  20

                                     (     4    )  -      40       =  20

                                                  -36               =  20 .

Is that a true statement ?     Is  -36 = 20  ?
I don't think so.
=>  't' is not 8 .     
      'A' is not the correct choice.

Now go ahead and try 'B'.
_________________________________

It might be faster and easier to just take the equation and solve it.
Then you'll know what 't' is, and you won't have to try any suggestions.

Here's the equation:              (1/2) (t) - 4(2 + t)  =  20

Eliminate parentheses
on the left side:                        1/2 t    - 8 - 4t  =  20

Combine the 't's
on the left side:                        -3.5 t  -  8        =  20

Add  8  to each side:               -3.5 t               =  28

Multiply each side by  -1 :         3.5 t               = -28

Divide each side by  3.5 :               t               = - 8 .

Now you can look back at the choices
and see that 'B' is the one you want.       
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<h3>Inverse of an equation</h3>

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