Select the correct answer. Which statement is true about this equation? -9(x + 3) + 12 = -3(2x + 5) − 3x A. The equation has one solution, x = 1. B. The equation has one solution, x = 0. C. The equation has no solution. D. The equation has infinitely many solutions.

Answer:

its D

Step-by-step explanation:

-9(x + 3) + 12 = -3(2x + 5) − 3x

-9x-27+25 = -6x-15-3x

-9x-15 = -9x - 15

same on both sides

so x has infinitely many solutions

The equation has no solutions. Option C is correct.

To figure out which statement is true for equation -9(x + 3) + 12 = -3(2x + 5) − 3x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
-9(x + 3) + 12 = -3(2x + 5) − 3x.
Simplification,
LHS
= -9(x + 3) + 12

= -9x -21 + 12
= -9x -9

RHS,
=  -3(2x + 5) − 3x
= -6x - 15 - 3x
= -9x - 15
Equation RHS and LHS,
-9x - 15 = -9x -9
-15 = -9
Implies, the value of x terminate means the given expression has no solution,

Thus, the equation has no solutions. Option C is correct.

Learn more about simplification here: https://brainly.com/question/12501526

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