SOLUTION: Pre-Algebra- I think..not sure. This problem is from Contemporary's Number Power Algebra 3 by Robert Mitchell TERMS ON BOTH SIDES OF AN EQUATION: {{{ 11z-3=9z }}}

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Question 188359: Pre-Algebra- I think..not sure. This problem is from Contemporary's Number Power Algebra 3 by Robert Mitchell
TERMS ON BOTH SIDES OF AN EQUATION:
+11z-3=9z+ and *** this one I tried, but kept getting the wrong answer etc..
here is the problem***
+3%2F4x+-+7+=+7x+%2B+-582+
Any help would be greatly appreciated, as I am studying for a test in Pre-algebra/algebra, and need to attain a score of 55+ in Pre-algebra, and a score of 30+ in algebra. This test is on Saturday, (28th March), and I have been studying, religiously, but then..somewhere along the way, I become hopelessly lost, and end up with answerrs that are so-far out in left field, that I am not even sure I am in the same class etc....I should mention, that I am a returning adult...and not fresh out of High-School. My last algebra class was twenty-five+ years ago etc.....
Thank-you for your time, and any helpful suggestions..other than do not enter school would be greatly appreciated!!!! (the above joke was a lame attempt at keeping/finding humour in this stressful aspiration!!!)
Thanx~ John
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
11z-3=9z Start with the given equation.


11z=9z%2B3 Add 3 to both sides.


11z-9z=3 Subtract 9z from both sides.


2z=3 Combine like terms on the left side.


z=%283%29%2F%282%29 Divide both sides by 2 to isolate z.


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Answer:

So the answer is z=3%2F2 which in decimal form is z=1.5.




# 2


Is the equation +%283%2F4%29x+-+7+=+7x+%2B+-582+ ???


+%283%2F4%29x+-+7+=+7x+%2B+-582+ Start with the given equation.


cross%284%29%28%283%2Fcross%284%29%29x%29-4%287%29=4%287x%29%2B4%28-582%29 Multiply EVERY term by the LCD 4 to clear the fractions.


3x-28=28x-2328 Multiply and simplify.


3x=28x-2328%2B28 Add 28 to both sides.


3x-28x=-2328%2B28 Subtract 28x from both sides.


-25x=-2328%2B28 Combine like terms on the left side.


-25x=-2300 Combine like terms on the right side.


x=%28-2300%29%2F%28-25%29 Divide both sides by -25 to isolate x.


x=92 Reduce.


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Answer:

So the answer is x=92