Showing work for algebra problem. System of equations help.?

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a + b = 6
b = 6 - a

b + c = 5
6 - a + c = 5
c = a - 1

c + d = 4
a - 1 + d = 4
d = 5 - a

d + e = 3
5 - a + e = 3
e = a - 2

Value of a:
e + a = 2
a - 2 + a = 2
2a = 4
a = 2

Value of b:
= 6 - 2
= 4

Value of c:
= 2 - 1
= 1

Value of d:
= 5 - 2
= 3

Value of e:
= 2 - 2
= 0

Answer: a = 2; b = 4; c = 1; d = 3; e = 0...Show more