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If [tex][tex]$JM = 5x - 8$[/tex][/tex] and [tex][tex]$LM = 2x - 6$[/tex][/tex], which expression represents [tex][tex]$JL$[/tex][/tex]?

A. [tex][tex]$3x - 2$[/tex][/tex]
B. [tex][tex]$3x - 14$[/tex][/tex]
C. [tex][tex]$7x - 2$[/tex][/tex]
D. [tex][tex]$7x - 14$[/tex][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's solve this step-by-step:

We are given the expressions for JM and LM:
- [tex]\( JM = 5x - 8 \)[/tex]
- [tex]\( LM = 2x - 6 \)[/tex]

We need to determine the expression that represents JL. According to the problem, JL is the combination of JM and LM, thus:
[tex]\[ JL = JM + LM \][/tex]

Substitute the given expressions into the equation:
[tex]\[ JL = (5x - 8) + (2x - 6) \][/tex]

Now, we will combine like terms. First, combine the [tex]\( x \)[/tex] terms:
[tex]\[ 5x + 2x = 7x \][/tex]

Then, combine the constant terms:
[tex]\[ -8 - 6 = -14 \][/tex]

So, the expression for JL is:
[tex]\[ JL = 7x - 14 \][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{7x - 14} \][/tex]
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