Difference between revisions of "1963 TMTA High School Algebra I Contest Problem 35"

(Created page with "== Problem == Combine and simplify <math>\frac{2}{6-3x}+\frac{5}{x-2}-\frac{3}{4-2x}</math> <math>\text{(A)} \quad \frac{-35}{6(x-2)} \quad \text{(B)} \quad \frac{-35}{6(2-x)...")
 
(See Also)
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|header=[[1963 TMTA High School Mathematics Contests]] ([[1963 TMTA High School Algebra I Contest Problems|Problems]])
 
|header=[[1963 TMTA High School Mathematics Contests]] ([[1963 TMTA High School Algebra I Contest Problems|Problems]])
|before=[[1963 TMTA High School Algebra I Contest Problem 33| Problem 33]]
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|before=[[1963 TMTA High School Algebra I Contest Problem 34| Problem 34]]
 
|title=[[TMTA High School Mathematics Contest Past Problems/Solutions]]
 
|title=[[TMTA High School Mathematics Contest Past Problems/Solutions]]
|after=[[1963 TMTA High School Algebra I Contest Problem 35|Problem 35]]
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|after=[[1963 TMTA High School Algebra I Contest Problem 36|Problem 36]]
 
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Revision as of 12:06, 2 February 2021

Problem

Combine and simplify $\frac{2}{6-3x}+\frac{5}{x-2}-\frac{3}{4-2x}$

$\text{(A)} \quad \frac{-35}{6(x-2)} \quad \text{(B)} \quad \frac{-35}{6(2-x)} \quad \text{(C)} \quad \frac{35}{6(2-x)}$

$\text{(D)} \quad \frac{6}{2-x} \quad \text{(E)} \quad \frac{6}{x-2}$

Solution

The common denominator is $(2)(3)(x-2).$

\[\frac{2}{6-3x}+\frac{5}{x-2}-\frac{3}{4-2x}=\frac{e}{(2)(3)(x-2)\] (Error compiling LaTeX. Unknown error_msg)

See Also

1963 TMTA High School Mathematics Contests (Problems)
Preceded by
Problem 34
TMTA High School Mathematics Contest Past Problems/Solutions Followed by
Problem 36