SOLUTION: hi, i would appreciate it if you could help me with this, im having brain cramps today. {{{ 4/(x-1)= (x-1)/9 }}}. thank you

Algebra ->  Expressions-with-variables -> SOLUTION: hi, i would appreciate it if you could help me with this, im having brain cramps today. {{{ 4/(x-1)= (x-1)/9 }}}. thank you       Log On


   

Question 130239: hi,
i would appreciate it if you could help me with this, im having brain cramps today. +4%2F%28x-1%29=+%28x-1%29%2F9+. thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+4%2F%28x-1%29=+%28x-1%29%2F9+ Start with the given equation


+4=+%28x-1%29%28x-1%29%2F9+ Multiply both sides by x-1

+4%2A9=+%28x-1%29%28x-1%29+ Multiply both sides by 9


+36=+%28x-1%29%28x-1%29+ Multiply


+36=+x%5E2-2x%2B1+ Foil the right side


+0=+x%5E2-2x-35+ Subtract 36 from both sides


+0=%28x-7%29%28x%2B5%29 Factor the right side


Set each factor equal to zero

x-7=0 or x%2B5=0

Solve for x in each case

x=7 or x=-5


So our answers are


x=-5 or x=7