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

Problems with fractions , The sum of the sides of a triangle is 9 2/9 inche...

The sum of the sides of a triangle is 9 2/9 inches.If the two sides measure 5/3 inches and 3 1/6 inches,find the measure of the third side

CBA, I am preparing for a CBA what do I need to study?

I am preparing for a CBA what do I need to study?

#title.Liz, A team needs to save up $400 for new uniforms and currently has...

A team needs to save up $400 for new uniforms and currently has $190. They decide to hold a fundraiser where they can earn a $7 profit for each item sold. What equation could be s

Uniform motion, How do you do uniform motion? i am stuck on some problems

How do you do uniform motion? i am stuck on some problems

Angebra 2 a, Mary traveled 200 miles at an average rate of 50 miles per hou...

Mary traveled 200 miles at an average rate of 50 miles per hour. How long did it take her?

Rates/scales ., Susan is driving to Mount Shasta.On her map,she is distance...

Susan is driving to Mount Shasta.On her map,she is distance of 7 3/4 inches away.The scale of the map is 1/2 inch is 50 miles. a.) how far must susan travel to reach her destinat

Second form of parabola, As noted earlier most parabolas are not given in t...

As noted earlier most parabolas are not given in that form.  So, we have to take a look at how to graph a parabola which is in the general form.

Karen, I need help solving -5=1/4(4+20r)-8r

I need help solving -5=1/4(4+20r)-8r

Help, Tank A contains four times as much as Tank B. Tank C contains 32 L mo...

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?

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