1.1: Solving Systems of Equations with Parameters (E1)
Exercise PDF
Exercise
Suppose we are given the following system of equations to solve, and we want to let [i]z[/i] be our parameter:[br][br](1) [math]x+2y+3z=16[/math][br](2) [math]2x-y+z=2[/math]
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 [math]x[/math] and [math]y[/math] in terms of [math]z[/math]. So we will use the Echelon Method to solve this system, and our answer should contain [math]z[/math]'s in the [math]x[/math] and [math]y[/math] solution. [br]
Solution
From this graph, we see that each equation, and therefore, each solution, is affected by the value of z.
Solution PDF
