Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

Amy is creating beaded jewelry to give to her family and friends. For her family, she assembled 1 necklace, using a total of 60 beads. For her friends, she assembled 4 bracelets and 1 necklace, using a total of 100 beads. Assuming she uses a consistent number of beads for every bracelet and necklace, how many beads is she using for each?

Amy uses $---- beads for each bracelet and $---- beads for each necklace.

P.S. The answer is written as a \((x,y)\) value meaning \(x\) would beads for bracelet and \(y\) would be beads for necklace.

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