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Answer:

Step-by-step explanation:

L and W are the length and width of the flag.

"The perimeter of the flag is 500 feet"

2L + 2W = 500

L+W = 250

"The length is 30 feet greater than the width"

L = W+30

You have a system of two equations:

L+W = 250

L  = W+30

Substitute W+30 for L:

(W+30) + W = 250

2W + 30 = 250

2W = 220

W = 110 ft

L = W+30 = 140 ft

:::::

"C is 400 miles longer than D"

C = D+400

"The sum of their lengths is 5,580 miles"

C + D = 5,580

You have a system of two equations:

C = D+400

C + D = 5,580

Substitute D+400 for C:

(D+400) + D = 5,580

2D + 400 = 5,580

D = 2,590 miles

C = D+400 = 2,990

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