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Consider this equation:  2/3 x − 9 − 2x + 2 = 1

Which is an equivalent equation after combining like terms?

Respuesta :

aimeme
-4/3x (or -1 1/3x if you use whole numbers instead of an improper fraction) -7 = 1

Answer:

[tex]\displaystyle\frac{2}{3}x - 2x = 1 -2 + 9~~~~~~~~~~~~~~~~~~~~~~~~~~~(1)\\\\ \frac{-4}{3}x = 8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(2)[/tex]

Step-by-step explanation:

We are given the following information in the question:

We are given a equation:

[tex]\displaystyle\frac{2}{3}x - 9 -2x + 2 = 1[/tex]

We have to write an equivalent equation to the given equation by combining the like terms.

Like terms:

  • Like terms are terms that have the same variables and powers.
  • The coefficients of the like terms do not need to match.
  • Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
  • For example, 2x, 3x, 7x are examples of like terms.

Taking the like terms on one side, we can write the equation as:

[tex]\displaystyle\frac{2}{3}x - 2x = 1 -2 + 9~~~~~~~~~~~~~~~~~~~~~~~~~~~(1)\\\\(\frac{2-6}{3})x = 8\\\\\frac{-4}{3}x = 8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(2)[/tex]

Equation (1) and (2) are equivalent equation obtained by combining like terms.

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