Question 1059133
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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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<pre>
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.
</pre>

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