Answer:
JL = 62
Step-by-step explanation:
JL = JK + KL, substitute values
5x + 2 = 27 + 3x - 1
5x + 2 = 26 + 3x ( subtract 3x from both sides )
2x + 2 = 26 ( subtract 2 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Thus
JL = 5x + 2 = 5(12) + 2 = 60 + 2 = 62
The value of JL is 67.
JL = 5x + 2
JK = 27
KL = 3x - 1
Since JK + KL = JL, this will be:
JK + KL = JL
27 + 3x + 1 = 5x + 2
Collect like terms
27 + 1 - 2 = 5x - 3x
26 = 2x
Divide both side by 2
2x/2 = 26/2
x = 13
Since JL = 5x + 2
JL = 5(13) + 2
JL = 65 + 2
JL = 67
Therefore, JL is 67.
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