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If [tex]\( J = 5x - 8 \)[/tex] and [tex]\( LM = 2x - 6 \)[/tex], which expression represents [tex]\( JL \)[/tex]?

A. [tex]\( 3x - 2 \)[/tex]

B. [tex]\( 3x - 14 \)[/tex]

C. [tex]\( 7x - 2 \)[/tex]

D. [tex]\( 7x - 14 \)[/tex]

Sagot :

GinnyAnswer
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]
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