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Which expression is equivalent to [tex]$v-5-8v$[/tex]?

A. [tex]$v-13$[/tex]
B. [tex][tex]$4v$[/tex][/tex]
C. [tex]$-5-7v$[/tex]
D. [tex]$-7v-5$[/tex]

Sagot :

GinnyAnsweridn
To determine which expression is equivalent to [tex]\( v - 5 - 8v \)[/tex], we can simplify the expression step by step.

1. Combine the like terms involving [tex]\( v \)[/tex]:
[tex]\[ v - 8v = -7v \][/tex]

2. Now, substitute [tex]\(-7v\)[/tex] back into the original expression:
[tex]\[ -7v - 5 \][/tex]

So, the simplified expression is:
[tex]\[ -7v - 5 \][/tex]

Now, let's compare this result with the given answer choices:
1. [tex]\( v - 13 \)[/tex]
2. [tex]\( 4v \)[/tex]
3. [tex]\( -5 - 7v \)[/tex]
4. [tex]\( -12v \)[/tex]

The simplified expression [tex]\(-7v - 5\)[/tex] matches the third answer choice [tex]\( -5 - 7v \)[/tex].

Therefore, the expression equivalent to [tex]\( v - 5 - 8v \)[/tex] is:
[tex]\[ -5 - 7v \][/tex]
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