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Which expression is equivalent to [tex]$2x + 3y - x - (8 + 1)$[/tex]?

A. [tex]6(x + y) - 7[/tex]
B. [tex]5x + 2y - 7[/tex]
C. [tex]3(x + y) - 9[/tex]
D. [tex]x + 3y - 9[/tex]


Sagot :

Let's simplify the expression [tex]\(2x + 3y - x - (8 + 1)\)[/tex] step-by-step to find the equivalent expression.

1. Start with the given expression:
[tex]\[ 2x + 3y - x - (8 + 1) \][/tex]

2. Simplify the terms inside the parentheses:
[tex]\[ 8 + 1 = 9 \][/tex]
Now the expression becomes:
[tex]\[ 2x + 3y - x - 9 \][/tex]

3. Combine like terms. Notice that [tex]\(2x\)[/tex] and [tex]\(-x\)[/tex] are like terms:
[tex]\[ 2x - x = x \][/tex]
Now, substitute back into the expression:
[tex]\[ x + 3y - 9 \][/tex]

The simplified expression is:
[tex]\[ x + 3y - 9 \][/tex]

Therefore, the expression equivalent to [tex]\(2x + 3y - x - (8 + 1)\)[/tex] is:
[tex]\[ \boxed{x + 3y - 9} \][/tex]