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What is the justification for step 1 in the solution process?

-22 - x = 5 + 6x + 9

Step 1: -22 - x = 14 + 6x

A. The multiplication property of equality
B. The subtraction property of equality
C. The addition property of equality
D. Combining like terms

Sagot :

GinnyAnswer
To determine the justification for step 1 in the given equation process, we need to examine how we move from the initial equation to the transformed version.

Initial equation:
[tex]\[ -22 - x = 5 + 6x + 9 \][/tex]

Step 1 transformation:
[tex]\[ -22 - x = 14 + 6x \][/tex]

In the initial equation, we have the constant terms 5 and 9 on the right-hand side. To simplify the equation, we combine these constant terms:

[tex]\[ 5 + 9 = 14 \][/tex]

So, the right-hand side of the equation becomes:
[tex]\[ 5 + 6x + 9 \Rightarrow 14 + 6x \][/tex]

Thus, the transformation from:
[tex]\[ -22 - x = 5 + 6x + 9 \quad \Rightarrow \quad -22 - x = 14 + 6x \][/tex]

is accomplished by combining the like terms 5 and 9 into a single term, 14. Therefore, the justification for this step is:

D. combining like terms
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