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lindseyharrison

  • 3 years ago

What is the solution to the rational equation 3/2 - 1/x+5 = -2/2x + 10

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  1. lindseyharrison
    • 3 years ago
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    |dw:1346443313054:dw|

  2. lindseyharrison
    • 3 years ago
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    x = -5 x = -5/2 x = 5 No solution

  3. campbell_st
    • 3 years ago
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    ok... simplify the fraction on the rhs -2/(2x + 10) = -2/2(x + 5) = -1/(x + 5) so you have 3/2 - 1/(x + 5) = -1/(x + 5) add -1/(x + 5) to both sides for your solution

  4. lindseyharrison
    • 3 years ago
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    It's no solution

  5. campbell_st
    • 3 years ago
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    correct

  6. CliffSedge
    • 3 years ago
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    You don't need to simplify the right side. \[\frac{3}{2}-\frac{1}{x+5}=\frac{-2}{2x+10}.\] Simplify the left side: \[\frac{3}{2}-\frac{1}{x+5}=\frac{3x+13}{2x+10} .\] With same denominators, now you only need to solve the numerator equation, 3x+13=-2 which indeed has no solution because if x=-5 then division by zero.

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