SOLUTION: please help me here! janet and lynn live 8 blocks apart in the opposite directions from their office. If Lynn lives 1 block less than twice as far from the office as Janet does, ho
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Question 29668: please help me here! janet and lynn live 8 blocks apart in the opposite directions from their office. If Lynn lives 1 block less than twice as far from the office as Janet does, how far does each girl live from the office?
You can put this solution on YOUR website! Janet and Lynn live 8 blocks apart ... J + L = 8
Lynn lives 1 block less than twice as far as Janet ... L = 2J - 1
J + L = 8 ... solve for J
- L = - L
J = 8 - L
Substitute this into L = 2J - 1
L = 2(8 - L) - 1
Distribute.
L = 16 - 2L - 1
Combine like terms
L = 15 - 2L
+2L = + 2L
3L = 15
divide by 3
L = 5 Lynn lives five blocks away.
J + L = 8
J + 5 = 8
- 5 = -5
J = 3 Janet lives three blocks away.
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