Examples of elimination technique - linear algebra, Mathematics

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Explain some examples of Elimination technique of Linear Equations.

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Damon 2/12/2013 3:05:30 AM 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}

Damon

2/12/2013 3:05:30 AM

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}

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