Answered

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If [tex]\( JM = 5x - 8 \)[/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 determine the expression for [tex]\( JL \)[/tex] given that [tex]\( JM = 5x - 8 \)[/tex] and [tex]\( LM = 2x - 6 \)[/tex], we need to find the sum of [tex]\( JM \)[/tex] and [tex]\( LM \)[/tex].

Here's a step-by-step solution:

1. Write down the given expressions:
- [tex]\( JM = 5x - 8 \)[/tex]
- [tex]\( LM = 2x - 6 \)[/tex]

2. Add the two expressions together to find [tex]\( JL \)[/tex]:
[tex]\[ JL = JM + LM \][/tex]
Substitute the given expressions:
[tex]\[ JL = (5x - 8) + (2x - 6) \][/tex]

3. Combine like terms:
- Combine the [tex]\( x \)[/tex]-terms:
[tex]\[ 5x + 2x = 7x \][/tex]
- Combine the constant terms:
[tex]\[ -8 - 6 = -14 \][/tex]

4. Write the simplified expression for [tex]\( JL \)[/tex]:
[tex]\[ JL = 7x - 14 \][/tex]

Therefore, the expression that represents [tex]\( JL \)[/tex] is [tex]\( 7x - 14 \)[/tex].

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