SOLUTION: Hello If anyone can please try and solve this equation I don't even know where to start! Help! :( okay i realize that the LAST PART of this equation AFTER THE 1 written and shown

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Hello If anyone can please try and solve this equation I don't even know where to start! Help! :( okay i realize that the LAST PART of this equation AFTER THE 1 written and shown       Log On


   

Question 125132: Hello If anyone can please try and solve this equation I don't even know where to start! Help! :( okay i realize that the LAST PART of this equation AFTER THE 1 written and shown to you incorrectly: 3%2F4=1-3x-2%2Fx%2B1 it is supposed to be (3 over 4 ) 3/4 =1 (minus) - 3x-2 (over) / x+1. I don't know how to write this equation correctly as text. I apologize. Thank you and have blessed day!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
3%2F4 = 1 - %28%283x-2%29%29%2F%28%28x%2B1%29%29
Get rid of those annoying denominators; multiply the equation by 4(x+1):
4(x+1)*3%2F4 = 4(x+1)*1 - 4(x+1)*%28%283x-2%29%29%2F%28%28x%2B1%29%29
Cancel the denominators and you have:
:
3(x+1) = 4(x+1) - 4(3x-2)
:
3x + 3 = 4x + 4 - 12x + 8; multiply what's inside the brackets
:
3x - 4x + 12x = 4 + 8 - 3; x's on the left, numerical values on the right
:
11x = 9
x = 9%2F11
:
:
Check solution in original equation:
3%2F4 = 1 - %28%283%289%2F11%29-2%29%29%2F%28%28%289%2F11%29%2B1%29%29 = 3%2F4 = 1 - %28%28%2827%2F11%29-%2822%2F11%29%29%29%2F%28%28%289%2F11%29%2B%2811%2F11%29%29%29 = 3%2F4 = 1 - %28%285%2F11%29%29%2F%28%2820%2F11%29%29
:
Invert the dividing fraction and multiply
5%2F11 * 11%2F20 = 1%2F4
so we have:
3%2F4 = 1 - 1%2F4; confirms our solution