Which facts could be applied to simplify this expression? Check all that apply. 5 x 3 y (negative x) 6 z To add like terms, add the coefficients, not the variables. First add 5x x. The simplified expression is 4 x 3 y 6 z. Only combine terms which contain the same variable. The simplified expression is 5 x 3 y 6 z.

Respuesta :

To solve the expression we must know about expressions and like terms.

Expression

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Like terms

like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The final solution of the expression is 4x + 3y + 6z.

Explanation

Given to us

  • 5x + 3y - x + 6z

Simplification of the above equation can be done in the following manner,

1.   Only combine terms that contain the same variable.

2.  To add like terms, add the coefficients, not the variables. First, add

    5x+(-x).

            5x + (-x) + 3y + 6z

3. The simplified expression is 4x + 3y + 6z.

             4x + 3y + 6z

Hence, the final solution of the expression is 4x + 3y + 6z.

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