jhonnysins
jhonnysins jhonnysins
  • 06-11-2020
  • Mathematics
contestada

does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.

Respuesta :

mberisso
mberisso mberisso
  • 06-11-2020

Answer:

Infinite number of solutions

Step-by-step explanation:

Use distributive property to eliminate the parenthesis on the left:

8 x + 12 = 16 x + 12 - 8 x

combine like terms on the right:

8x+ 12 = 8 x + 12

subtract 12 from both sides

8 x = 8 x   (notice both sides are identical)

subtract 8 x  from both sides

0 = 0

This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")

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