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The recycling and reuse industry emplys approximately 1,025,000 more workers than the waste management industry. Together they provide 1,275,000 jobs. How many jobs does each industry provide. Solve this using the elimination method.

Verified Answer :

r = recycling and reuse industry jobs
w = waste management jobs

we know, those two jobs combined are 1,275,000
or
r + w = 1,275,000

we also know that, whatever the "w" jobs are, are really less than "r"
jobs by 1,025,000

"r" has 1,025,000 more than  "w"
or
r = w + 1,025,000
or
r-w = 1,025,000

so... there, just solve by elimination, simple, notice the "w",
is just waiting to be eliminated :)

\(\bf \begin{cases} r+\quad w=1,275,000\\ r-\quad w=1,025,000\\ \textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\ \boxed{?}+\boxed{?}=\boxed{?} \end{cases}\)

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