Respuesta :

ALin03

Let's solve the equation:

9x+27 = 9(x+2)+9 ← Distribute 9 to the x and 2

9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x


Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.


claudettoterohil

9x + 27 = 9(x + 2) + 9


Simplify both sides of equation:


9x + 27 = 9(x + 2) + 9


9x + 27 = (9)(x) + (9)(2) + 9 (Distribute)


9x + 27 = 9x + 18 + 9


9x + 27 = (9x) + ( 18 + 9)

(Combine Like Terms:)



9x + 27 = 9x + 27


9x + 27 = 9x + 27



Subtract 9x from both sides:


9x + 27 - 9x = 9x + 27 - 9x


27 = 27



Subtract 27 from both sides:


27 - 27 = 27 - 27


0 = 0



Equations is always true



Answer: All real numbers are solutions: (Infinitely many solutions:)







Hope that helps!!! ( Answer: Letter Choice (B), Infinitely many solutions.).




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