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

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