River c is 300 miles longer than river d. if the sum of their lengths is 5,500 ? miles, what is the length of each? river?

Hi there! :)

The length of River C is: 2,900 miles

The length of River D is: 2,600 miles

Step-by-step explanation:

River C = X + 300 miles

River D = X miles

River C + River D = 5,500 miles

The equation → (X + 300) + X = 5,500

First off, you'll need to solve the equation by isolating "X" in order to find the length of the river D:

(X + 300) + X = 5,500

X + 300 + X = 5,500

Subtract 300 from each side of the equation → 5,500 - 300 = 5,200

X + X = 5,200

Add similar terms together → X + X = 2X

2X = 5,200

Divide each side of the equation by 2 → 5,200 ÷ 2 = 2,600

X = 2,600 miles ⇒ Length of River D

Since River D's length is 2,600 miles and that River C's length is 300 miles longer than River D's, you need to add 300 to the length of River D to find the length of River C:

2,600 + 300 = Length of River C

2,900 = Length of River C

River C + River D = 5,500

2,900 + 2,600 = 5,500 ⇒ YES

There you go! I really hope this helped, if there's anything just let me know! :)

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step-by-step explanation: