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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.$\newline$The members of a sewing circle are making blankets to give to shelters. This week, they made $14$ twin-size blankets and $27$ queen-size blankets, using a total of $284$ yards of fabric. Last week, the members completed $47$ twin-size blankets and $45$ queen-size blankets, which required $497$ total yards of fabric. How much fabric is used for the different sizes of blankets?$\newline$A twin-size blanket uses $\_$ yards of fabric and a queen-size one uses $\_$ yards.