Solve this equation. Does the equation have one solution, no solution, or infinitely many solutions?
Use the drop-down menus to explain your answer.
–3(x – 14) + 9x = 6x + 42
Solving the equation results in the statement ____ . Because this is a __statement, the equation has ___

Respuesta :

Answer:

The equation has many infinitely solutions

Step-by-step explanation:

Give the equation:

–3(x – 14) + 9x = 6x + 42

Then we simplify it:

<=> -3x + 42 + 9x = 6x + 42

<=> 6x + 42= 6x + 42

<=> 42=42

So the equation has many infinitely solutions

The equation –3(x – 14) + 9x = 6x + 42 has an infinitely many solution

-3(x -14) + 9x = 6x + 42

open the brackets

-3x + 42 + 9x = 6x + 42

combine the like terms

-3x + 9x - 6x = 42 - 42

6x - 6x = 0

Therefore,

0 = 0

The equation has infinitely many solutions. This is because both sides are the same.

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