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

Need help with this question.., Three friends are selling items at a bake s...

Three friends are selling items at a bake sale. May makes $23.25 selling bread. Inez sells gift baskets and makes 100 times as much as May. Carolyn sells pies and makes one tenth o

Compound math, Ask question #15/16 to the percentage

Ask question #15/16 to the percentage

Graph Linear Inequalities, Which of the following is a solution to the ineq...

Which of the following is a solution to the inequality y A.) (1,1) B.) (3,0) C.) (-3, 10) D.) (0,0)

Dependent system example, Dependent system example Example: Solve the...

Dependent system example Example: Solve the given system of equations. 2x + 5 y = -1 -10x - 25 y = 5 Solution In this instance it looks like elimination would b

Radius of circle, #question.what does a circle radius of 18.9 look like

#question.what does a circle radius of 18.9 look like

College Algebra 136, #question: A large grain silo is to be constructed in...

#question: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30

Ratio, If there is 1/4 of item X for every 7/12 of item Y, how much of item...

If there is 1/4 of item X for every 7/12 of item Y, how much of item X is there for 7/10 of item Y?

Add a multiple of a row to another row, Add a Multiple of a Row to Another ...

Add a Multiple of a Row to Another Row.   In the operation we will replace row i with the addition of row i & a constant, c, times row j. The notation we'll utilize for this operat

Determing slopes, Give the slope of each line and determine whether the 2 l...

Give the slope of each line and determine whether the 2 lines are parallel, perpendicular or neither: 4x+3y=9 and -9x+12y=0

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