STATE WHAT EACH VARIABLE REPRESENTS. WRITE YOUR SYSTEM OF EQUATIONS.

SOLVE FOR X AND Y.

DONT SKIP ILL GIVE 40 POINTS !!! EXTRA BRAINLIEST !

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.

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