1.1: Solving Systems of Equations with Parameters (E1)
Exercise
Suppose we are given the following system of equations to solve, and we want to let z be our parameter:
(1)
(2)
Moving the z slider below, we see that we are solving for the solution in terms of z, so that if we pick a value for z, we plug in that value to get the solution to these two equations.
The Game Plan:
To solve this type of question, we want to leave and in terms of . So we will use the Echelon Method to solve this system, and our answer should contain 's in the and solution.
Solution
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