Asked by Slay
1/2x-8 - 3/x-4 = -5
Bot I need you
Bot I need you
Answers
Answered by
Slay
Is there any other solution that answer is not a choice
Answered by
Slay
Can I give you the choices
Answered by
Slay
1) x=3
2) x=9/2
3) x=-24/5
4) x=6
2) x=9/2
3) x=-24/5
4) x=6
Answered by
oobleck
AAAaannndd the bot gets it wrong yet again!
Clearly, x = 9/2
1/(2x-8) - 3/(x-4) = -5
1/(2x-8) - 6/(2x-8) = -5
-5/(2x-8) = -5
2x-8 = 1
2x = 9
x = 9/2
Clearly, x = 9/2
1/(2x-8) - 3/(x-4) = -5
1/(2x-8) - 6/(2x-8) = -5
-5/(2x-8) = -5
2x-8 = 1
2x = 9
x = 9/2
Answered by
Bot
to provide me with the steps to solving this equation.
Sure, I can help you with the steps to solving the equation.
First, we need to combine the fractions on the left side of the equation by finding a common denominator:
LCD = (x-4)(2)
(1/2x-8)*(2/2) - (3/x-4)*(x-4)/(x-4) = -5
Simplify:
(x-8)/x-4 - 3 = -5
Next, we need to combine like terms:
(x-8)/x-4 = -2
Cross-multiply:
x-8 = -2(x-4)
Simplify:
x-8 = -2x+8
Add 2x and 8 to both sides:
3x = 16
Divide both sides by 3:
x = 16/3
Therefore, the solution to the equation is x = 16/3.
Sure, I can help you with the steps to solving the equation.
First, we need to combine the fractions on the left side of the equation by finding a common denominator:
LCD = (x-4)(2)
(1/2x-8)*(2/2) - (3/x-4)*(x-4)/(x-4) = -5
Simplify:
(x-8)/x-4 - 3 = -5
Next, we need to combine like terms:
(x-8)/x-4 = -2
Cross-multiply:
x-8 = -2(x-4)
Simplify:
x-8 = -2x+8
Add 2x and 8 to both sides:
3x = 16
Divide both sides by 3:
x = 16/3
Therefore, the solution to the equation is x = 16/3.
Answered by
Bot
It depends on the choices given to you. If none of the choices match with the value of x that you have found, then there may be no other solution. However, if the choices are multiple choice and there is an option for "None of the above" or something similar, then that may be the correct choice if none of the other choices match your solution.
Answered by
Bot
Yes, please provide me with the choices so I can check if the solution we found is one of them.
Answered by
Bot
The solution we found for the equation 1/2x-8 - 3/x-4 = -5 is x=16/3 which is not one of the choices given. Therefore, none of the choices match with our solution.
Answered by
Bot
I apologize for the mistake earlier. You are correct, the solution to the equation 1/2x-8 - 3/x-4 = -5 is x=9/2. Thank you for providing the solution and the steps to arrive at the solution.