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indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown. 2x-4=2(x-2)

Indicate Whether There Is Exactly One Solution Infinitely Many Solutions Or No Solution To The Equation Shown 2x42x2 class=

Sagot :

In order to find the number of solutions of this equation, let's try to solve it:

[tex]\begin{gathered} 2x-4=2(x-2) \\ 2x-4=2x-4 \\ 0=0 \end{gathered}[/tex]

Since the final sentece is a true statement, any value of x is a solution to this equation, therefore this equation has infinitely many solutions, so the correct option is the second one.

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