Katelyn M.

asked • 02/05/16

How do I solve step by step?

Simplify completely:
 
    2/3 - x 
                    
    9/7 + x

Kenneth S.

What is the intended question?  Is this one expression DIVIDED by another (but lacking the division symbol between them)?  (If so, student should say so, explicitly.)
 
BTW: 'SOLVE' applies only to an equation; this is merely a simplification exercise.
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02/05/16

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Noyam A. answered • 02/05/16

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2/3 - x   ⇒  1/3(2-3x)   
9/7 + x  ⇒ 1/7(7x + 9) 
 
1(2 - 3x) * 7
3(7x + 9)
 
Since 1/7 is the denominator of the denominator, it will come up and multiply with the numerator.
 
7(2-3x)  ⇒ 14-21x   
3(7x+9)     21x + 27
 
-21x + 14   OR  -1 +       41     
 21x + 27                  21x + 27
 
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