Determinants and Cramer's Rule - Cool math Algebra Help Lessons

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Coolmath Algebra
Determinants and Cramer's Rule Lesson 4 - Cramer's Rule for 3x3 Systems (page 2 of 3)
---- This algebra lesson explains how to use Cramer's Rule for solving systems of 3 equations and 3 unknowns.

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For

| row 1: 2 , -1 , 6 row 2: -3 , 4 , -5 row 3: 8 , -7 , -9 |

and delete the column with the x guys...

| row 1: __ , -1 , 6 row 2: __ , 4 , -5 row 3: __ , -7 , -9 | ... delete the x guys (column 1)

Replace that column with the "= guys" and start crunching!

Dx = | row 1: 10 , -1 , 6 row 2: 11 , 4 , -5 row 3: 12 , -7 , -9 | = -1499

So, x = ( Dx / D ) = ( -1499 / -141 ) = ( 1499 / 141 )

For

Do the same kind of thing...

Take D again...

and delete the column with the y guys...

| row 1: 2 , __ , 6 row 2: -3 , __ , -5 row 3: 8 , __ , -9 | ... delete the y guys (column 2)

Replace that column with the "= guys" and crunch!

Dy = | row 1: 2 , 10 , 6 row 2: -3 , 11 , -5 row 3: 8 , 12 , -9 | = -1492

So, y = ( Dy / D ) = ( -1492 / -141 ) = ( 1492 / 141 )

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