Question

How many solutions does the equation have?6h−(9−3h)=6−3(h+2)

Answer 1

Answer: The equation has ONE (1) solution; which is:

h = ¾ ; or, write as: 0.75 .
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Step-by-step explanation:
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Given the equation:
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6h − (9 − 3h) = 6 − 3(h + 2) ;
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Rewrite as:
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↔ 6h − (-3h + 9) = -3(h + 2) + 6 ;

6h + 3h − 9 = -3(h + 2) + 6 ;

6h + 3h − 9 = - (3h + 3*2) + 6 ;

9h − 9 = - (3h + 6) + 6 ;

9h − 9 = - 3h − 6 + 6 ;

9h − 9 = -3h ;

(9h − 9) + (-9h) = -3h + (-9h) ;

9h − 9 − 9h = -3h − 9h ;

9h − 9h − 9 = -12h ;

-9 = - 12h ;

↔ -12h = -9 ;


-12h / -12 = -9 / -12 ;

h = 9/12 = (9÷3)/(12÷3) = 3/4 ;

h = ¾ ; or, write as: 0.75.

This is the solution. There is ONE (1) solution.
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