SOLUTION: Addition and Subtraction of Rational Expressions Add or subtract the following: {{{(z+3)/2+7/2}}} {{{3/z - (z-4)/z}}} {{{(8y-3)/(y+7)-(4y-1)/(y+7)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Addition and Subtraction of Rational Expressions Add or subtract the following: {{{(z+3)/2+7/2}}} {{{3/z - (z-4)/z}}} {{{(8y-3)/(y+7)-(4y-1)/(y+7)}}}      Log On


   

Question 156402This question is from textbook elementary and intermediate algebra
: Addition and Subtraction of Rational Expressions
Add or subtract the following:
%28z%2B3%29%2F2%2B7%2F2
3%2Fz+-+%28z-4%29%2Fz
%288y-3%29%2F%28y%2B7%29-%284y-1%29%2F%28y%2B7%29 This question is from textbook elementary and intermediate algebra

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Addition and Subtraction of Rational Expressions
Add or subtract the following:
%28z%2B3%29%2F2%2B7%2F2

The denominators are the same, 2, so combine the tops over
this common denominator, 2:

%28%28z%2B3%29%2B7%29%2F2

Remove the parentheses:

%28z%2B3%2B7%29%2F2

Simplify

%28z%2B10%29%2F2

That's it!:

-------------------

3%2Fz+-+%28z-4%29%2Fz


The denominators are the same, z, so combine the tops over
this common denominator, z:

%283-%28z-4%29%29%2Fz

Remove the parentheses:

%283-z%2B4%29%2Fz

Simplify

%287-z%29%2Fz

That's it!:


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%288y-3%29%2F%28y%2B7%29-%284y-1%29%2F%28y%2B7%29


The denominators are the same, y%2B7, so combine the tops over
this common denominator, y%2B7:

%28%288y-3%29-%284y-1%29%29%2F%28y%2B7%29

Remove the parentheses:

%288y-3-4y%2B1%29%2F%28y%2B7%29

Simplify

%284y-2%29%2F%28y%2B7%29

That's it!:            

Edwin