Given that the solution of the system {x + y = 5k-13x-2y = 7 satisfies the condition of X7, the positive integer value of K is obtained

(1) X 2 + (2) is obtained
5x=10k+5
∴x=2k+1
Substituting x = 2K + 1 into (1) yields
2k+1+y=5k-1
y=3k-2
∵x7
∴2k+17
∴k3
∴3

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