SOLUTION: Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 9) 4(4x - 15) = 16x - 60 10) 9x + 2x = 10x 11) -4(x + 6) + 165 = 5x - 9(x - 9

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Question 1059133: Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
9) 4(4x - 15) = 16x - 60
10) 9x + 2x = 10x
11) -4(x + 6) + 165 = 5x - 9(x - 9)
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Try solving for x and find what happens.

#11 only.





--------Equation would be true if x=-226/5. Classify the way you need. Conditional is best and only meaningful choice.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
9) 4(4x - 15) = 16x - 60
10) 9x + 2x = 10x
11) -4(x + 6) + 165 = 5x - 9(x - 9)
~~~~~~~~~~~~~~~~~~~~~~~~~~ 

9)  4(4x - 15) = 16x - 60  --->

    16x - 60 = -16x - 60,

    16x + 16x = -60 + 60

    32x = 0,

    x = 0.   <==== It is not an identity.  It is equation.  It is not inconsistent.  In opposite, it is consistent.


10)  9x + 2x = 10x  --->

     11x = 10x,

     11x - 10x = 0,

     x = 0.  <==== It is not an identity. It is equation.  It is not inconsistent.  In opposite, it is consistent.


11)  -4(x + 6) + 165 = 5x - 9(x - 9)  --->

     -4x - 24 + 165 = 5x - 9x + 81,

     -4x +141 = -4x + 81,  --->

     141 = 81.   <==== This equality is impossible.  Hence, the original equation is inconsistent.

Disregard what "josgarithmetic" wote in your post. It is wrong.



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
9) 4(4x - 15) = 16x - 60
10) 9x + 2x = 10x
11) -4(x + 6) + 165 = 5x - 9(x - 9)
 --------- What type of equation is it when this happens? You need to answer that!

 -------- What type of equation is it when this happens? You need to answer that!

 ---- What type of equation is it when this happens? You need to answer that! 

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