SOLUTION: In order for the equation below to have infinitely many solutions, what must the value of m be? mx + 3(mx � 12) + 14 = 11(x � 2) + 5x

Question 921010: In order for the equation below to have infinitely many solutions, what must the value of m be?
mx + 3(mx � 12) + 14 = 11(x � 2) + 5x

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If you solve an equation and get to an absolute truth (a statement not involving variables that is true), you have infinitely many solutions.
Example:
If you solve this you get:

which is an absolute truth (a statement not involving variables that is true)
so, solve your equation for :

check if we get an absolute truth (a statement not involving variables that is true) if we plug in

line

together,

as you can see two lines are directly on top of each other

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