Answer:
x = - 8
Step-by-step explanation:
Given rational algebraic equation:
(7/x) - (1/4) = (9/x)
Least common denominator (LCD): (4)(x)
Multiply each term by 4x:
(4x) [(7/x) - (1/4) = (9/x)] (4x)
28 - x = 36
Find the value of x:
28 - x = 36
28 - 36 = x
x = - 8
Check when x = -8:
(7/x) - (1/4) = (9/x)
7/(-8) - 1/4 = 9/(-8)
-7/8 - 1/4 = -9/8
LCD: 8
-7/8 - 2/8 = -9/8
-9/8 = -9/8 (True)
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