Answer:
1550 miles
Step-by-step explanation:
Let the distance from kim's house to NYC be KN
Let the distance from kim's house to LA be KL.
Translating the word problem into an algebraic expression, we have;
KN = KL + 100
KN + KL = 3000
To find the distance from kim's house to NYC, KN;
Substituting eqn 1 into eqn 2, we have;
KL + 100 + KL = 3000
2KL + 100 = 3000
2KL = 3000 - 100
2KL = 2900
KL = 2900/2
KL = 1450 miles
Next, we find the KN;
KN = KL + 100
KN = 1450 + 100
KN = 1550 miles
Therefore, the distance from kim's house to NYC is 1550 miles.
