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How can you solve a linear system by substitution on a calculator?

a) Graphically
b) Algebraically
c) Using matrices
d) Substituting one equation into the other

1 Answer

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Final answer:

To solve a linear system by substitution on a calculator, first solve one equation for a variable, then substitute into the second equation and solve for the other variable. Analytical methods are more accurate than graphical as they provide exact numerical values.

Step-by-step explanation:

To solve a linear system by substitution on a calculator, you can use two methods: algebraically, by substituting one equation into the other, or using matrices. While using a Ti-83 or Ti-84 calculator, you will enter the equations in the calculator and solve for the variables. Let's say we have two linear equations, represented as y = b + mx. You'll first solve one equation for one variable, and then substitute that into the other equation to solve for the remaining variable.

For example:

  1. Enter the first equation into the calculator, solving for one variable.
  2. Substitute that variable into the second equation.
  3. Solve the second equation for the remaining variable.
  4. Then go back to the first equation and solve it with the known variable.

Though you can solve graphically, the analytical technique is potentially more accurate than the graphical technique because it provides exact numerical values, whereas the graphical method relies on the accuracy of the drawn graph, which can be subject to interpretation, especially if not scaled properly.

Therefore answer is d) Substituting one equation into the other.

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