SOLUTION: determine whether the equation is an identity, a conditional equation, or an inconsistant equation. (-7x+2)/3 + 4/3 = (-7x/2)

Algebra ->  Equations -> SOLUTION: determine whether the equation is an identity, a conditional equation, or an inconsistant equation. (-7x+2)/3 + 4/3 = (-7x/2)      Log On


   

Question 106871: determine whether the equation is an identity, a conditional equation, or an inconsistant equation.
(-7x+2)/3 + 4/3 = (-7x/2)
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
%28-7x%2B2%29%2F3+%2B+4%2F3+=+-7x%2F2
If we multiply both sides by 6,
6%28-7x%2B2%29%2F3+%2B+4%2F3+=6%28+-7x%2F2%29
2%28-7x%2B2%29%2B2%284%29=3%28-7x%29
%28-14x%2B4%29%2B8=-21x
-14x%2B%284%2B8%29=-21x
-14x%2B12=-21x
-14x%2B21x%2B12=-21x%2B21x
7x%2B12=0
7x%2B12-12=0-12
7x%2B0=-12
7x=-12
x=-12%2F7

Since the equation is true if and only if x=-12%2F7, this is a conditional equation.

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