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If 19x - 17y = 55 and 17x - 19y = 53, find (x + y).
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Step-by-step explanation:
19x - 17y = 55 ...(1) 17x - 19y = 53 ...(2)
Subtract (2) from (1):
19x - 17y = 55
17x - 19y = 53
- + = -
2x + 2y = 2
⇒ 2x + 2y = 2
⇒ 2(x + y) = 2
⇒ x + y = 2/2
⇒ x + y = 1
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