Determine the solution for linear equations, Algebra

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.

Posted Date: 4/6/2013 4:02:41 AM | Location : United States







Related Discussions:- Determine the solution for linear equations, Assignment Help, Ask Question on Determine the solution for linear equations, Get Answer, Expert's Help, Determine the solution for linear equations Discussions

Write discussion on Determine the solution for linear equations
Your posts are moderated
Related Questions

The population of a city was 141 thousand in 1992. The exponential growth rate was 1.6% per year. Find the exponential growth function in terms of t,where t is the number of years

please solve this eqution step by step for me hving trouble -58x-26=8x-230.6

.what is the average rate of change if f(x) = 4x + 6 .




find the domain and range of f(X)=2*3^x+5


Tank A contains four times as much as Tank B. Tank C contains 32 L more than Tank A. The three Tanks contain 482 L of water in all. How many liters of water does Tank A contain?