SOLUTION: determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x-3+9x-4 = 3x+8x-10

Algebra ->  Equations -> SOLUTION: determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x-3+9x-4 = 3x+8x-10      Log On


   

Question 107660: determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
2x-3+9x-4 = 3x+8x-10
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x-3%2B9x-4=3x%2B8x-10 Start with the given equation



11x-7=3x%2B8x-10 Combine like terms on the left side


11x-7=11x-10 Combine like terms on the right side


11x=11x-10%2B7Add 7 to both sides


11x-11x=-10%2B7 Subtract 11x from both sides


0x=-10%2B7 Combine like terms on the left side


0x=-3 Combine like terms on the right side


0=-3 Simplify

Since this equation is never true for any x value, this means there are no solutions.


So the equation is inconsistent

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
2x-3+9x-4 = 3x+8x-10
11x-7 = 11x-10
-7 = -10
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The equation is inconsistent;the "x" on the left side cannot be the
same as the "x" on the right side.
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Cheers,
Stan H.