Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible by Cramer's Rule, enter IMPOSSIBLE. X1 + 2x₂ = 7 -X1 + X₂ = 2 STEP 1: Find the coefficient matrix. A = STEP 2: Find A₁. A₁ = STEP 3: Find A₂. A₂ = STEP 4: Solve for X₁. |A₁| X1 = |A| STEP 5: Solve for X₂. |A₂| ↓ 1 ↓1 ↓ 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 67E
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Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible by Cramer's Rule, enter IMPOSSIBLE.)
X₁ + 2x₂ = 7
-X1 + X₂ = 2
STEP 1: Find the coefficient matrix.
A =
STEP 2: Find A₁.
A₁ =
STEP 3: Find A₂.
A₂ =
STEP 4: Solve for X₁.
|A₁|
ΙΑΓ
X1 =
STEP 5: Solve for X₂.
|A₂|
x2 =
|A|
↓1
↓ 1
↓1
Transcribed Image Text:Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible by Cramer's Rule, enter IMPOSSIBLE.) X₁ + 2x₂ = 7 -X1 + X₂ = 2 STEP 1: Find the coefficient matrix. A = STEP 2: Find A₁. A₁ = STEP 3: Find A₂. A₂ = STEP 4: Solve for X₁. |A₁| ΙΑΓ X1 = STEP 5: Solve for X₂. |A₂| x2 = |A| ↓1 ↓ 1 ↓1
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