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

Rates, find the number of hours it would take to drive 168 miles at an aver...

find the number of hours it would take to drive 168 miles at an average rate of 48 miles an hour. use the formula d=rt

Word problem, Tickets for the school play cost $6 for students and $9 for a...

Tickets for the school play cost $6 for students and $9 for adults. On opening night, all 360 seats were filled, and the box office revenues were $2610. How many student and how

Prisms, how do i find the are of a triangular prism if the number that i mu...

how do i find the are of a triangular prism if the number that i multiply is an odd number and i have to divide by 2

Example of single inequality, We will begin with inequalities that only hav...

We will begin with inequalities that only have a single inequality in them.  The thing that we've got to keep in mind here is that we're asking to find out all the values of the

Circles, how do you find the equation of the line tangent to the circle: x...

how do you find the equation of the line tangent to the circle: x^2=y^2=89 (5,-8)

Vector algebra, #addition of vectors is associative

#addition of vectors is associative

Solving systems in Standard form, I need help with this question from my ho...

I need help with this question from my homework, the wiz tickets are selling fast! Adult tickets are $15 and student tickets are $10. a total of 285 tickets already sold for #3770.

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