SOLUTION: On a mother's 22-mile commute to work, she drops her daughter off at a child care center. The first part of the trip is 6 miles less than the second part. How long is each part of

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Question 859412: On a mother's 22-mile commute to work, she drops her daughter off at a child care center. The first part of the trip is 6 miles less than the second part. How long is each part of her morning commute?
Answer by Awesom3guy(31) About Me  (Show Source):
You can put this solution on YOUR website!

Call the first part x and the second y.
x+%2B+y+=+22
And
The first part of the trip is 6 miles less than the second part.
x+=+y+-+6

Now substitute y-6 in the place of x in the first equation and solve for y.
%28y-6%29%2By+=+22
2y+-+6+=+22
2y+=+28
y+=+14

Plug this value in the place of any equation to solve for x.
x+=+y+-+6
x+=+14+-+6
x+=+8

The first part of her commute is 8 miles long and the second 14.