The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that scott has. in total, the boys have been on the soccer team for 10 years. how long has brad been on the soccer team.

Assume the following:

Brad has been in the soccer team for b years.

Scot has been in the soccer team for s years.

"The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"

means: b=5s-2

"in total,the boys have been on the soccer team for 10 years."

means: b+s=10

so we have the equations:

i) b=5s-2

ii) b+s=10

substitute b in ii) with 5s-2, as they are equal, from i

(5s-2)+s=10

5s-2+s=10

6s=12

s=2, 

then , from b+s=10, b=8

Brad has been in the team for 8 years.

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