Mathematics
If (2x - 1, y + 5) = (3, 10), the values of x and y are :
x = 4, y = 5
x = 8, y = 5
x = 2, y = 5
x = 1, y = 5
Coordinate Geometry
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Answer
Since two ordered pairs are equal, their first components are equal and their second components are separately equal.
(2x - 1, y + 5) = (3, 10)
⇒ 2x - 1 = 3 and y + 5 = 10
⇒ 2x = 3 + 1 and y = 10 - 5
⇒ 2x = 4 and y = 5
⇒ x = and y = 5
⇒ x = 2 and y = 5
Hence, option 3 is the correct option.
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