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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.$\newline$An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved $2$ conference rooms and $1$ ballroom, which can seat a total of $87$ attendees. For safety training next month, she reserved $4$ conference rooms and $1$ ballroom, which can seat $117$ attendees. How many attendees can each room accommodate?$\newline$Each conference room can accommodate $\_\_\_$ attendees, and every ballroom can accommodate $\_\_\_$ attendees.