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
Assume that (X, d) is a metric space and let (x1, : : : , x n ) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , x n ) obtain

what is classification and how can you teach it?

prove that every non-trivial ingetral solution (x,y,z)of the diophantine equation Xsquare +Ysquare=Zsquare satisfies gcd(x,y)=gcd(x,z)=gcd(y,z)

Nancy, Jennifer, Alex, and Joy ran a race. Nancy's time was 50.24 seconds, Jennifer's was 50.32, Alex's was 50.9, and Joy's was 50.2. Whose time was the fastest? The fastest ti

A 4-inch by 6-inch photograph is going to be enlarged through increasing each side by the similar amount. The new area is 168 square inches. How many inches is each dimension incre

Word Problems Involving Money: The promoter of a track meet engages a 6,000 seat armory.  He needs to gross $15,000. The price of children's tickets is to be one-half the pric

PROBLEMS RELATED TO APPLYING OPERATIONS :  Some of us were testing Class 4 children with addition and subtraction problems. We gave them sums that were written horizontally and th

what does the three mean in the power ?

Adison earned $25 mowing her neighbor''s lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday. She now has $86. How much money did Adison have to

The area of a rectangle gets decreased by 8 m2, if its length  is decreased by 5 m and breadth increased by 3 m. If we enhance  the length by 3 m and breadth by 2 m, the area is en