SOLUTION: My son is in 8th grade he is learning about solving linear equations and properties I have been helping him identity the steps and he got an equation that stumped all 3 of us him m

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Question 994192: My son is in 8th grade he is learning about solving linear equations and properties I have been helping him identity the steps and he got an equation that stumped all 3 of us him me and my husband
2/4z+4=1/2/3z-1
Our issues lie in the 1/2 in the numerator we have tried to isolate the z and just getting stumped any advice or guidance on this step apprecciated

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2/(4z+4)=(1/2)/(3z-1)
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Cross-multiply to get:
2(3z-1) = (1/2)(4z+4)
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6z-2 = 2z+2
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Subtract 2z from both sides:
Add 2 to both sides::
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4z = 4
z = 1
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Pls. let me know if that is too confusing.
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

My son is in 8th grade he is learning about solving linear equations and properties I have been helping him identity the steps and he got an equation that stumped all 3 of us him me and my husband
2/4z+4=1/2/3z-1
Our issues lie in the 1/2 in the numerator we have tried to isolate the z and just getting stumped any advice or guidance on this step apprecciated
You need to use parentheses
I presume this is the equation: 2%2F%284z+%2B+4%29+=+%281%2F2%29%2F%283z+-+1%29, with z+%3C%3E+-+1, and z+%3C%3E+1%2F3. If it is, then:
2%283z+-+1%29+=+%281%2F2%29+%2A+4z+%2B+4 ----- Cross-multiplying
6z+-+2+=+%284z+%2B+4%29%2F2
2%286z+-+2%29+=+4z+%2B+4 --------- Cross-multiplying
12z - 4 = 4z + 4
12z - 4z = 4 + 4
8z = 8
z+=+8%2F8, or highlight_green%281%29