Solving Linear Equations Using Cramer's Rule

Math Problem Statement

use cramers rule

Use Cramer's Rule to solve the system of linear equations: -3x + y = 4 and 2x + y = -6.

To solve the given system of linear equations using Cramer's Rule, follow these steps:

The system of equations is:

$-3x + y = 4 \tag{1}$ $2x + y = -6 \tag{2}$

The equations are already in the standard form: $Ax = B$ where:

[ A = \begin{bmatrix

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Algebra
Systems of Linear Equations
Cramer's Rule

Cramer's Rule: x = det(Ax)/det(A), y = det(Ay)/det(A)
Determinant of a 2x2 matrix: det(A) = ad - bc for A = [[a, b], [c, d]]

Cramer's Rule

Grades 9-12

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