Solve for x. 3/x-1 - 1/x^-1=5/x-1
Please show all work
2 answers:
3/(x-1) - 1/(x^2-1) = 5/(x-1)
Subtract 3/(x-1) from both sides
-1/(x^2-1) = 2/(x-1)
Factor x^2 - 1
-1/[(x-1)(x+1] = 2/(x-1)
Multiply by (x-1)(x+1) on both sides
-1 = 2 (x+1)
-1 = 2x + 2
Subtract 2 from both sides
-3 = 2x
Divide by 2 on both sides
-3/2 = x
Answer:
x = -3/2
Step-by-step explanation:
Find the common denominator
3(x+1) - 1 = 5(x+1) Distribute
3x + 3 -1 = 5x +5 Combine Like terms
3x + 2 = 5x + 5 Solve for x
2 = 2x +5
-3 = 2x
x = -3/2
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