SOLUTION: How can I make it easier for myself to understand steps to solving rational equations like this one... x-5/x-8 = x-1/x-5

SOLUTION: How can I make it easier for myself to understand steps to solving rational equations like this one... x-5/x-8 = x-1/x-5

Algebra.Com

Question 330566: How can I make it easier for myself to understand steps to solving rational equations like this one... x-5/x-8 = x-1/x-5
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(x-5)/(x-8)=(x-1)/(x-5) if this is what you mean THEN:
Cross multiply.
(x-8)(x-1)=(x-5)(x-5)
x^2-9x+8=x^2-10x+25 cancel out thw x^2 terms & combine like terms.
-9x+10x=25-8
x=17 ans.
Proof:
(17-5)/(17-8)=(17-1)/(17-5)
12/9=16/12
9*16=12*12
144=144

RELATED QUESTIONS
I need help in solving equations like these, 5(x+2)=8+4(5-x), 3/x+3=6/4-x and x I just... (answered by sofiyac)

solve for x 5=(x-2)/3+(x+1)/4 please show ur work so I can understand how to... (answered by mbmodak)

4^x + 6(4^-x)= 5 slove for x Im not sure how to do this question? would i get... (answered by lwsshak3)

Explian the four steps for solving quadratic equations? Can any of these steps be... (answered by richard1234)

Hi im working on the chapter Rational Functions. The section is solving rational... (answered by solver91311)

hi, i'm having trouble with one specific problem which you use "substitution" in order to (answered by stanbon)

I need help solving equations with integers.Can you show me the steps to solving problems (answered by jorel1380)

Hi! I need help with "row operations". From what I have researched and studied, I... (answered by Theo)

I am solving for x. Square root of (5x+5)=x+1. Thanks so much. If you can, can you... (answered by Theo)