Examples of elimination technique - linear algebra, Mathematics

Explain some examples of Elimination technique of Linear Equations.


Posted Date: 2/12/2013 3:04:23 AM | Location : United States

These examples will help you.

Consider the system of two equations (i) and (ii) underneath as:

2x - 3y = 8 ........          (i).

3x + 4y = -5 ........         (ii).

Step 1

Multiply (i) with 3

6x - 9y = 24 ......          (iii).

Multiply (ii) via 2

6x + 8y = - 10 ......        (iv).

Subtract iii from iv.

17y = -34 .........            (v).

 y = -2

Step 2

Multiply (i) via 4

8x - 12y = 32 .......       (vi)

Multiply (ii) via 3

9x + 12y = -15 .....        (vii)

Add vi to vii

17x = 17 ..........            (viii)

 x = 1

Hence x = 1, y = -2  that is {1,-2}

Posted by Damon | Posted Date: 2/12/2013 3:05:30 AM

Related Discussions:- Examples of elimination technique - linear algebra, Assignment Help, Ask Question on Examples of elimination technique - linear algebra, Get Answer, Expert's Help, Examples of elimination technique - linear algebra Discussions

Write discussion on Examples of elimination technique - linear algebra
Your posts are moderated
Related Questions
Plot the points A(2,0) and B (6,0) on a graph paper. Complete an equilateral triangle ABC such that the ordinate of C be a positive real number .Find the coordinates of C   (Ans: (

We know that a factor is a quantity which divides the given quantity without leaving any remainder. Similar to LCM above we can find a highest common factor (HCF)

Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve

Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system.  Though, as we will see, this is not all time the easie

Cylindrical Coordinates - Three Dimensional Space Since with two dimensional space the standard (x, y, z) coordinate system is known as the Cartesian coordinate system.  In the

report on shares and dovidend using newspaper

trigonometric ratios of sum and difference of two angles

Jake required to find out the perimeter of an equilateral triangle whose sides measure x + 4 cm each. Jake realized that he could multiply 3 (x + 4) = 3x + 12 to find out the total

what is Baker College Online upward line stretch?