Use Cramer's rule to compute the solution of the system. 5x₁ + 2x₂ = 19 4x₁ + 6x₂ = 24 What is the solution of the system? ×₁= x₂ = (Type integers or simplified fractions.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**System of Equations Using Cramer's Rule**

To solve the system using Cramer's Rule, consider the following equations:

1. \( 5x_1 + 2x_2 = 19 \)
2. \( 4x_1 + 6x_2 = 24 \)

**What is the solution of the system?**

\( x_1 = \) [  ]     
\( x_2 = \) [  ]     

*(Type integers or simplified fractions.)*

---

When using Cramer's Rule, you aim to solve the system of linear equations using determinants. This rule is applicable only when the system has a unique solution, meaning the determinant of the coefficient matrix is non-zero.
Transcribed Image Text:**System of Equations Using Cramer's Rule** To solve the system using Cramer's Rule, consider the following equations: 1. \( 5x_1 + 2x_2 = 19 \) 2. \( 4x_1 + 6x_2 = 24 \) **What is the solution of the system?** \( x_1 = \) [ ] \( x_2 = \) [ ] *(Type integers or simplified fractions.)* --- When using Cramer's Rule, you aim to solve the system of linear equations using determinants. This rule is applicable only when the system has a unique solution, meaning the determinant of the coefficient matrix is non-zero.
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