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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 :

GinnyAnsweridn
To find the expression for [tex]\( JL \)[/tex] given that [tex]\( JM = 5x - 8 \)[/tex] and [tex]\( LM = 2x - 6 \)[/tex], we need to add the expressions for [tex]\( JM \)[/tex] and [tex]\( LM \)[/tex].

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]
[tex]\[ JL = (5x - 8) + (2x - 6) \][/tex]

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

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

Therefore, the correct answer from the given options is:
[tex]\[ 7x - 14 \][/tex]
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