To find the expression for [tex]\( JL \)[/tex] given that [tex]\( J = 5x - 8 \)[/tex] and [tex]\( LM = 2x - 6 \)[/tex], we first need to understand what [tex]\( JL \)[/tex] represents in terms of [tex]\( J \)[/tex] and [tex]\( LM \)[/tex]. Assuming [tex]\( JL \)[/tex] implies adding the two expressions together — summing [tex]\( J \)[/tex] and [tex]\( LM \)[/tex] — let's combine them step-by-step.
Given:
[tex]\[ J = 5x - 8 \][/tex]
[tex]\[ LM = 2x - 6 \][/tex]
We seek to find the combined expression:
[tex]\[ JL = J + LM \][/tex]
So, we add the two expressions:
[tex]\[ JL = (5x - 8) + (2x - 6) \][/tex]
Combine the like terms:
1. Combine the [tex]\( x \)[/tex] terms:
[tex]\[ 5x + 2x = 7x \][/tex]
2. Combine the constant terms:
[tex]\[ -8 - 6 = -14 \][/tex]
Therefore:
[tex]\[ JL = 7x - 14 \][/tex]
The expression that represents [tex]\( JL \)[/tex] is:
[tex]\[ 7x - 14 \][/tex]
So the correct option is:
[tex]\[ \boxed{7x - 14} \][/tex]
