Determine which equation is an identity or whether it has no solution.

9x+3x-10+3(3x+x)

Question

Determine which equation is an identity or whether it has no solution.

9x+3x-10+3(3x+x)

selena2345 · Answer

Can You Please Help Me ? @satellite73

anonymous · Answer

i can't because it is not an equation
it has no equal sign in it

bibby · Answer

For reference an equation says One thing is equal to the other
A=B. A+7=B etc.

selena2345 · Answer

oh yes there is sorry i forgot to put it @satellite73 

9x+3x-10=3(3x+x)

anonymous · Answer

combine like terms on the left
what is $9x+3x$ ?

selena2345 · Answer

12x @satellite73

anonymous · Answer

yes, so the left hand side is $12x-10$ 
the right hand side is $3(3x+x)=3\times 4x=12x$

anonymous · Answer

so your equation is 
$$12x-10=12x$$ which is not possible

selena2345 · Answer

what do u mean not possible @satellite73

anonymous · Answer

is is not possible for $12x-10$ to be equal to $12x$

anonymous · Answer

because one number cannot be 10 less than itself!

anonymous · Answer

oh i see what you might mean
i wrote "not possible" but your answer should be "no solution"

selena2345 · Answer

can u show me how u got no solution ? @satellite73

e.mccormick · Answer

= mrans equality or that they match, have the same value.  So, it must be true.  Is this true?

5+2=5

selena2345 · Answer

no @e.mccormick

e.mccormick · Answer

By the same rule, the identity of:
5x+2=5x is not true.  And 12x-10=12x is not true.

That is because in an identity you can not move things across the = sign to solve for them.

selena2345 · Answer

can u show me all the work ? @e.mccormick

e.mccormick · Answer

Satelite73 did.  The work in an identity is to get one side to look exactly like the other.  This was impossible because the result is not true.  Therefore there is no solution.

e.mccormick · Answer

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