A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x + y = 9, where x is the number of hardcover books and y is the number of paperback
books. The equation 8x + 5y = 63 represents the total cost. How many of each type of book did you
buy?

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

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the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.