Linear Equation6

# Linear Equation6 - x-coefficient below row 1 Eliminate the...

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Linear Equations: Solutions Using Matrices with Three Variables Solving a system of equations by using matrices is merely an organized manner of using the  elimination method. Example 1 Solve this system of equations by using matrices. The goal is to arrive at a matrix of the following form. To do this, you use row multiplications, row additions, or row switching, as shown in the following. Put the equation in matrix form. Eliminate the

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Unformatted text preview: x-coefficient below row 1. Eliminate the y-coefficient below row 5. Reinserting the variables, this system is now Equation (9) now can be solved for z . That result is substituted into equation (8), which is then solved for y . The values for z and y then are substituted into equation (7), which then is solved for x . The check is left to you. The solution is x = 2, y = 1, z = 3....
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