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
how do I solve the equation 0.6(x+60)+0.2x=52


graph the following and find the point of intersection 2x+y=-4 y+2x=3

Solve a quadratic equation through completing the square Now it's time to see how we employ completing the square to solve out a quadratic equation. The procedure is best seen

1/x+10>0 what is the solution set

In this section we will take a look at something that we utilized back while we where graphing parabolas.  Though, we're going to take a more common view of it this section. Severa



twice the number n plus the product of eight and z. I need to know the algebraic expression, term, factors, coefficient, and constants

A student rented a bicycle for a one-time fee of $12.00 and then a charge of $0.85 per day.She paid $28.15 for the use of the bicycle. How many days did she keep it?