SOLUTION: Please help me answer this equation: -3x/x+1=-2/x-1

Question 195563This question is from textbook McDougal Littell Algebra 1
: Please help me answer this equation: -3x/x+1=-2/x-1 This question is from textbook McDougal Littell Algebra 1

Found 2 solutions by shankystud19, jim_thompson5910:
Answer by shankystud19(2) (Show Source): You can put this solution on YOUR website!
-3x/x+1= -2/x-1
3x/x+1 = 2/x-1
3x(x-1) = 2(x+1)
multiply these term on their respective sides ie L.H.S and R.H.S
we get
u will get quarditic equation in wich square of x have cofficent 3 and x have cofficeint -5 and x raise to power 0 have cofficent -2
ie 3x2 -5x-2=0
solving the quarditic equation by creating factors
3x2 -6x+x-2=0
3x(x-2)+ 1(x-2)=0
(3x+1)(x-2)=0
ie. 3x+1=0;x-2=0
by solving we get
ans : x= 2,x=-1/3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Multiply every term on both sides by the LCD . Doing this will eliminate all of the fractions.

Multiply and simplify

Distribute

Get everything to the left side

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or
RELATED QUESTIONS
Please help me answer this expression:... (answered by robertb)
please help me solve this equation: 1/3(x-1)-3 =... (answered by Alan3354)
can you please help me answer this equation. 3/x+1 +... (answered by RAY100)
please help me answer this equation: {{{3/4x -1/6 < x... (answered by richwmiller)
Please help me answer this. solve each equation by using the quadratic formula 1.)... (answered by Edwin McCravy)
Please help me solve this equation: {{{ (x^2-x/3) + ( 1/3x)... (answered by richwmiller)
Please help me solve this equation: {{{ ((x^2 - x)/3) + (1/3x)... (answered by richwmiller)
Please help me solve this equation: f(x)=1/3x-2, reflection in the... (answered by davidb52)
3x + 1 = (x - 5) / 2 can you help me answer this... (answered by Boreal,josmiceli)