College Algebra Aim 47 Cramers Rule.notebook
March 24, 2017
Aim #47 day 2: How do we solve systems of equations using
Cramer's Rule?
HW: P. 557 18, 20, 24
Kickoff:
Create a matrix for the following system of equations.
x+y=6
2x+4y = 20
Feb 5­1:08 PM
How about this one? 4x + 2y =9
6x + 3y =12
If the determinant of a matrix is zero, then, Cramer's Rule cannot be used. Apr 19­2:17 PM
1
College Algebra Aim 47 Cramers Rule.notebook
March 24, 2017
Let's Kick It Up A Notch!
Solve using Cramer's Rule:
- 3y = - 4x + 11
6x + 5y = 7
Mar 14­10:42 AM
Try: Solve using Cramer's Rule:
7 = - 6x - 5y
x + 14 = -4y
Mar 14­10:44 AM
2
College Algebra Aim 47 Cramers Rule.notebook
March 24, 2017
Practice: Solve each system using Cramer's
Rule.
A) 3x + y = -2 AND -x + 5y = 22
B) 4x = -12
AND 2x + y = -1
C) -5x + 4y = -12 AND 2y = -6 - 2x
Mar 24­9:16 AM
Feeling Fancy ? How about Cramer's Rule for a 3 x 3 system of equations? 2x + y ­ z = 3
­x + 2y + 4z = ­3
x ­ 2y ­ 3z = 4
Apr 18­2:14 PM
3