Solving a System of Two Linear Equations Using Cramer's Rule
To solve a system of two linear equations in two variables using Cramer's rule, follow this six-step procedure:
- Evaluate the determinant , using the coefficients of the variables.
- Evaluate the determinant by using the system's constants in place of the coefficients.
- Evaluate the determinant by using the system's constants in place of the coefficients.
- Find the values of and using the formulas and .
- Write the final solution as an ordered pair .
- Check that the ordered pair is a valid solution by substituting it back into both original equations.
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Ch.4 Systems of Linear Equations - Intermediate Algebra @ OpenStax
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Solving a System of Two Linear Equations Using Cramer's Rule
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Example: Solving a System of Two Equations Using Cramer's Rule
Practice: Solving a System of Two Equations Using Cramer's Rule
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