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

.., (4y2)(2y)

(4y2)(2y)

#tibobb, a painter charged $320 to paint two walls taht measure 12 feet by ...

a painter charged $320 to paint two walls taht measure 12 feet by 9ft and two walls that measured 10 ft by 9 ft. The client asks him to return to paint two walls that measue 15 ft

Non-linear systems, In this section we will discussed about non-linear syst...

In this section we will discussed about non-linear systems of equations.  A non-linear system of equations is a system wherein at least one of the variables contains an exponent ot

Probability, Provide one example to show how you can use the Expected Value...

Provide one example to show how you can use the Expected Value computation to assess the fairness of a situation (probability experiment). Provide the detailed steps and calculatio

Math, what does x when y=2x=3

what does x when y=2x=3

Price for demand, The national demand and price for a certain type of energ...

The national demand and price for a certain type of energy-efficient exhaust fan are related by p=490-4/5q, where p is the price(in dollars) and q is the demand (in thousands). The

New math, What is the effectiveness of new math?

What is the effectiveness of new math?

Word problems, Mr.Carr is installing wall-to-wall carpeting in a room that ...

Mr.Carr is installing wall-to-wall carpeting in a room that measures 12 1/2ft. by 9ft. How much will it cost Mr. Carr if he purchases carpet priced at $26.00 per square yard?

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