SOLUTION: Please help me solve this equation: {{{ 2x - (2x+11)/5 - (4x-6)/11 = - (7-8x)/7 }}}
How I tried:
Algebra.Com
Question 1116739: Please help me solve this equation:
How I tried: 2x - (2x+11)/5= (10x-2x+11)/5
So, (10x-2x+11)/5 - (4x-6)/11 = (7-8x)/7 equals (10x-2x+11)/5 times 385(385 is the LCM of the denominators) - (4x-6)/11 times 385 = -(7-8x)/7 times 385, which equals 770x-154x+847-140x-210=-385-440x
Now, Transposition: 770x+440x-154x-140x=-385-847+210 which equals 916x=1442
x=1 526/916
This is the wrong answer; the answer from my key book is 7. I hope you can understand my equation; I've worked it several times and can't get the right answer! I don't think I'm understanding how to work this kind of equation. I appreciate any help you can offer, if you can't understand or get the equation it's ok!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I fail to why is part of your post.
I imagine it is a typo of sorts.
It has nothing to do with
.
AS you said, the LCM of the denominators is .
Multiplying both sides of
times , we get in more, or less, or different steps
,
,
,
,
,
, and .
There are signs that are wrong in
,
but that occasionally happens to the best of us.
It should be
.
When you see that you get a very ugly fraction,
you have to suspect you made a mistake.
The problem, as I found out in an exam over 50 tears ago,
is to find where you made a mistake.
A sign can mutate as you copy the equation from the bottom of page 1
to the top of page 2, as I remember well.
The solution (in math class, not in life) should be as simple as ,
which makes , , and .
You can substitute to get
,
,
,
,
and that makes verifying the solution very simple and easy.
RELATED QUESTIONS
Solve... (answered by lynnlo)
11 - |2x - 5| > 6
(answered by solver91311)
-10x-5+2(-5+2x)=11 (answered by stanbon)
What is the Numeric Solution and Number Line Graphic Solution for the following problems:
(answered by jim_thompson5910)
3(-2x+5)=11-4x (answered by jim_thompson5910)
X+5(x-1)=19
2x=10(x-4)
6x-11=-2x+5
18x-15=-21+12x
1/2(10x-6)=x-15... (answered by rfer)
11>5-2x > or =... (answered by alegriajoy33,richwmiller)
-5< 2x + 1 (>=)... (answered by stanbon)
I need to rewrite the equation so that y is a fuction of x:
-2x+5y-6=-11... (answered by rapaljer)