The integers are therefore -2, -2, 0, 1 and 2
Linear equation
Let the five consecutive integers be x-3, x-2, x-1, x and x+1
If the sum of five consecutive integers equals 5.5 times the middle integer, then;
x-3+x-2+x-1+x+x+1 = 5.5(x-1)
5x - 5 = 5.5x - 5.5
Collect the like terms
5x-5.5x = -5.5 + 5
-0.5x = -0.5
x = 1
The integers are therefore -2, -2, 0, 1 and 2
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