Use Cramer's rule to compute the solution of the system. 10x₁ + 4x₂ + 4x3 = 6 + 3x3 = 2 -X₁ 11x₁ + X2 = 2 x₁ = ; x₂= ; x3 = (Type integers or simplified fractions.)
Use Cramer's rule to compute the solution of the system. 10x₁ + 4x₂ + 4x3 = 6 + 3x3 = 2 -X₁ 11x₁ + X2 = 2 x₁ = ; x₂= ; x3 = (Type integers or simplified fractions.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:**Using Cramer's Rule to Solve the System of Equations**
The system of equations to be solved is:
1. \( 10x_1 + 4x_2 + 4x_3 = 6 \)
2. \( -x_1 + 3x_3 = 2 \)
3. \( 11x_1 + x_2 = 2 \)
**Solution:**
To find the values of \( x_1 \), \( x_2 \), and \( x_3 \), apply Cramer's rule, which involves calculating determinants for matrices derived from the system of equations.
**Answer Inputs:**
Fill in the boxes with the solutions:
- \( x_1 = \boxed{} \)
- \( x_2 = \boxed{} \)
- \( x_3 = \boxed{} \)
(Type integers or simplified fractions.)
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