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Answer:
[tex]\huge\boxed{\sf x - y = \pm 1}[/tex]
Step-by-step explanation:
Given that:
x² + y² = 7
xy = 3
We know that:
(x - y)² = x² + y² - 2xy
Put the above givens in the formula.
(x - y)² = 7 - 2(3)
(x - y)² = 7 - 6
(x - y)² = 1
Take sqrt on both sides
x - y = ±1
[tex]\rule[225]{225}{2}[/tex]