Solve the system of linear equations Using the Cramer's Rule. E A) 182 B 8x+6y=1 Sx - 2y = -37 D 691 156 43 C) -125 21 1 -215 -271 69 -137 43 86 1 22 71 301 86

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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This image contains handwritten text and numbers that describe a problem involving solving a system of linear equations using Cramer’s Rule. The equations and potential solution options are as follows:

### Problem Statement:
Solve the system of linear equations using Cramer's Rule.

#### System of Equations:
1. \(8x + 64y = 1\)
2. \(5x - 7y = -37\)

### Options:
**A)** \(\frac{182}{69}, \frac{-271}{69}\)

**B)** \(\frac{156}{43}, \frac{-137}{43}\)

**C)** \(\frac{-125}{71}, \frac{22}{71}\)

**D)** \(\frac{-215}{86}, \frac{301}{86}\)

The task is to determine which of these pairs of fractions correctly represents the solutions for \(x\) and \(y\) by applying Cramer’s Rule to the given system of equations.
Transcribed Image Text:This image contains handwritten text and numbers that describe a problem involving solving a system of linear equations using Cramer’s Rule. The equations and potential solution options are as follows: ### Problem Statement: Solve the system of linear equations using Cramer's Rule. #### System of Equations: 1. \(8x + 64y = 1\) 2. \(5x - 7y = -37\) ### Options: **A)** \(\frac{182}{69}, \frac{-271}{69}\) **B)** \(\frac{156}{43}, \frac{-137}{43}\) **C)** \(\frac{-125}{71}, \frac{22}{71}\) **D)** \(\frac{-215}{86}, \frac{301}{86}\) The task is to determine which of these pairs of fractions correctly represents the solutions for \(x\) and \(y\) by applying Cramer’s Rule to the given system of equations.
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