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Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.$\newline$Substitute teachers with Newberg School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, $1$ non-credentialed sub taught in the district. That cost the district $\$65$. Today, $8$ non-credentialed subs and $4$ credentialed subs taught, receiving $\$864$ from the district. How much do subs get paid?$\newline$Subs without credentials get paid $\$$_____ per day, and subs with credentials get paid $\$$_____ per day.