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Solving a System of Equations with a Matrix

Solving a System of Equations with a Matrix. Algebra I. Steps:. Put the two equations in standard form, so that the x – terms are in a column, the y – terms are in a column, and the constants are in a column.

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Solving a System of Equations with a Matrix

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  1. Solving a System of Equations with a Matrix Algebra I

  2. Steps: • Put the two equations in standard form, so that the x – terms are in a column, the y – terms are in a column, and the constants are in a column. • Re-write the equations with out the variables or the equals symbol to form an augmented matrix • Type the matrix in the calc. Press “2nd” “Matrix” got to Edit enter the matrix and go back to the home screen. • Press “2nd” “Matrix” Math scroll down to “B: rref” then press “2nd” “Matrix” then scroll down to matrix you entered press “Enter” twice. • Copy the new matrix onto your paper. • Write out the answer.

  3. Answer decoding • Answer form: 1 0 x (One Solution) 0 1 y (x,y) is the solution • Answer form: 1 0 0 (Infinitely Many 0 0 0 Solutions) • Answer form: 1 0 0 (No Solutions) 0 0 # # is any number but 0

  4. Example • Solve: y = -3x + 2 -2x = -y – 4 • Solution: (6/5, -8/5)

  5. Example • Solve: 2x + y = -4 x + 1/2y = -2 • Solution: Infinitely Many Solutions

  6. Example: • Solve: 4x – y = 11 8x – 2y = 15 • Solution: No Solutions

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