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What is the solution to the rational equation 3/x-2=2/x-3?

3/x-2=2/x-3

Can someone plz help?

3 Answers

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  • Pingu
    Lv 5
    9 years ago
    Favorite Answer

    3/x - 2 = 2/x - 3

    3/x - 2/x = -3 + 2

    1/x = -1

    x= -1

    Check this by plugging the solution back into the original equation:

    3/(-1) - 2 = 2/(-1) - 3

    -3 - 2 = -2 - 3

    -5 = -5

    OK, it checks out!

  • Syfer
    Lv 4
    9 years ago

    x= -1

  • rozek
    Lv 4
    4 years ago

    a million. 2x-5=14 2x = 19 x = 19/2 2. x-3=8x+5 x - 8x = 5 + 3 -7x = 8 x = 8/(-7) x = -8/7 3. 9x=40 x = 40/9 4. 3x+7=-4 3x = -4 - 7 3x = -eleven x = -eleven/3 5. -2(x-5)=7 -2x + 10 = 7 -2x = -3 x = -3/-2 = 3/2 6. -4x=17 x = 17/-4 = -17/4 7. -5x=17 x = 17/-5 = -17/5 8. -5x+a million=15 -5x = 14 x = -14/5 9.x-5x+7=-8 x - 5x = -8 - 7 -4x = -15 x = -15/-4 = 15/4 10. 3(x-5)=x-20 3x -15 = x -20 3x - x = -20 + 15 2x = -5 x = -5/2 eleven. -5x=18 x = 18/-5 = -18/5 12. x-9=6x+7 x - 6x = 7 + 9 -5x = sixteen x = sixteen/-5 = -sixteen/5 13. 4(x+6)=23 4x + 24 = 23 4x = -a million x = -a million/4 14. (-2x/5) = 7 -2x = 5(7) = 35 x = 35/-2 = -35/2 15. (10x - 2)/5 = 3 10x - 2 = 15 10x = 17 x = 17/10 sixteen. 2(x - 3) + x = 9 2x - 6 + x = 9 2x + x = 9 + 6 3x = 15 x = 15/3 = 5

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