Determine the solution for linear equations, Algebra

Assignment Help:

Solve following equations.

                          1/(x+1) = 1-   (5/2x - 4)

Solution

Just like along with the linear equations the primary thing which we're going to need to do here is to clear the denominators out through multiplying by the LCD.  Remember that we will also have to note value(s) of x which will give division by zero so that we can ensure that these aren't involved in the solution.

                              1/ (x+1)  = 1 -  (5/2x - 4)

The LCD for this problem is ( x + 1)(2x - 4) and we will have to avoid x =-1 and x = 2 to ensure we don't get division by zero.  Following is the work for this equation.

( x + 1) ( 2x - 4) (1/(x+1))= (x + 1) ( 2 x - 4) (1 -      5/2x - 4)         

2x - 4 = ( x + 1) ( 2 x - 4) - 5 ( x + 1)

2x - 4 =2 x2 - 2 x - 4 - 5x - 5

0 = 2x2 - 9x - 5

0 = ( 2x + 1) ( x - 5)

Thus, it seem like the two solutions to this equation are following,

x =- 1/2           and          x = 5

Notice that neither of these are the values of x which we needed to avoid nor so both are solutions.


Related Discussions:- Determine the solution for linear equations

Determine the solution for linear equations, Solve following equations. ...

Solve following equations.                           1/(x+1) = 1-   (5/2x - 4) Solution Just like along with the linear equations the primary thing which we're going to

Cube of a binomial, how can we solve if the given is negative?

how can we solve if the given is negative?

Solve two-step equations, hello! at my school we are learning how to solve ...

hello! at my school we are learning how to solve two-step equations but i am having a little trouble. can you please help me?

Combining like terms, 7x to the 2 power y -9x to the 2 power y-2x to the 2 ...

7x to the 2 power y -9x to the 2 power y-2x to the 2 power y

Areas, does total surface area mean total exposed area

does total surface area mean total exposed area

Review, I need a full review on the subject Algebra1 Because i am fixing to...

I need a full review on the subject Algebra1 Because i am fixing to take the states test.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd