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Explain the process of solving a system of three equations using a calculator.

User Malady
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Final answer:

To solve a system of three equations using a calculator, you must input the equations' known coefficients and constants use the calculator's solving function and verify the solutions by plugging them back into the original equations.

Step-by-step explanation:

To solve a system of three equations using a calculator, such as the TI-83, 83+, or 84, follow these steps:

  1. Identify the unknowns in your set of equations. These are the variables you are solving for.
  2. Identify the knowns, which are the coefficients and constants in the equations.
  3. Enter your data into the calculator. You may need to access the matrix or equation-solving function on your device to input the coefficients of the variables and the constants from the other side of the equations.
  4. Once your data is entered, use the calculator's function to solve the simultaneous equations. Follow any on-screen instructions to find the values of the unknowns.
  5. Verify your solutions by plugging them back into the original equations to ensure they satisfy all three equations.

Some calculators, like the TI models, provide a step-by-step process or a single calculation mode that can automatically find the solution set. Remember to carefully check each step of your inputs and outputs to avoid any errors.

User Marcelle
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