Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.