Solving 3z/2=z/6+4: Is it Right?

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The equation 3z/2 = z/6 + 4 is analyzed for correctness. Initial calculations led to z = 1/2, but this was incorrect due to a miscalculation involving the constant. Correctly multiplying both sides by 6 yields 9z = z + 24, simplifying to 8z = 24, resulting in z = 3. The discussion emphasizes the importance of properly handling constants in equations. The final conclusion is that the correct solution is z = 3.
thomas576
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3z/2=z/6+4

so

i x multiply and get
18z=2z+8
16z=8

z=1/2

this look right?

thanks
 
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Unfortunately no; you forgot to multiply your constant with 6 as well
(with the "constant", I mean the lone "4" in your original equation)
 
hmm

ok you lost me /shrug
 
3z/2=z/6+4
1. Multiply both sides of the equation with 6:
6*(3z/2)=6*(z/6+4)
OR:
18z/2=6z/6+6*4
Or:
9z=z+24
That is:
8z=24
Whereby:
z=3

Note:
I didn't bother with your cross-multiplication; that was an unnecessary operation.
 
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