SOLUTION: Solve the following equation and determine whether it is an identity, inconsistent or conditional equation. {{{ 2x-((2x)/(7))=((x)/(2))+(17/2) }}}

Algebra ->  Equations -> SOLUTION: Solve the following equation and determine whether it is an identity, inconsistent or conditional equation. {{{ 2x-((2x)/(7))=((x)/(2))+(17/2) }}}      Log On


   



Question 989388: Solve the following equation and determine whether it is an identity, inconsistent or conditional equation.
+2x-%28%282x%29%2F%287%29%29=%28%28x%29%2F%282%29%29%2B%2817%2F2%29+

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Multiply both sides by 2.

Multiply both sides by 7.

Collect like terms in the LHS.

Add -7x to both sides.

Multiply both sides by the reciprocal of 17.

Identities are true for any value of the variable. Inconsistencies are false for any value of the variable. This equation is true for one value of the variable.

John

My calculator said it, I believe it, that settles it