SOLUTION: 1/2(z-3)=-4/5(z-1/6)

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Question 211504: 1/2(z-3)=-4/5(z-1/6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29%28z-3%29=-%284%2F5%29%28z-1%2F6%29 Start with the given equation.


%281%2F2%29z-%281%2F2%293=-%284%2F5%29z-%284%2F5%29%28-1%2F6%29 Distribute.


%281%2F2%29z-3%2F2=-%284%2F5%29z%2B4%2F30 Multiply


%281%2F2%29z-3%2F2=-%284%2F5%29z%2B2%2F15 Reduce.


Multiply EVERY term the LCD 30 to clear any fractions.


15z-45=-24z%2B4 Multiply and simplify.


15z=-24z%2B4%2B45 Add 45 to both sides.


15z%2B24z=4%2B45 Add 24z to both sides.


39z=4%2B45 Combine like terms on the left side.


39z=49 Combine like terms on the right side.


z=%2849%29%2F%2839%29 Divide both sides by 39 to isolate z.


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Answer:

So the solution is z=49%2F39 which approximates to z=1.256.