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# HELP FASTTTTT

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River C is 200 miles longer than River D. If the sum of their lengths is 5,570 ​miles, what is the length of each​ river?

Feb 11, 2021

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Please refrain from posting AMC problems.

Feb 11, 2021
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Let's make this into a system of equations. Our first equation is

River C + River D = \$5,570\$

Our second equation is

-River C + River D = \$200\$

We can find the length of River C by using the elimination method for a system of \$2\$ equations because River C in equation \$2\$ is negative and River C in equation \$1\$ is positive (postive + negative = elimination). We get:

River C + River D = \$5,570\$

+ -River C + River D = \$200\$

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2 * River D = \$5,770\$

To get rid of the \$2\$ we divide both sides by \$2\$ to get

River D Length = \$2885\$

Now we can plug River D's Length into the first equation to get

River C + \$2885\$ = \$5,570\$

We subtract \$2885\$ from both sides to get

River C Length = \$2685\$

So our answer's are River C = \$2685\$ & River D = \$2885\$!

NOTE: I was just reviewing this and realized I read the problem wrong I swaped the legnths for River C & D my bad. The real answers are:
River C = \$2885\$ & River D = \$2685\$

Feb 11, 2021