SOLUTION: The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists.

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Question 1196103: The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.)

3x−2y+5z=8
2x−3y+4z=15
(x, y, z) =

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!




To make the 2 on row 2 column 1 become 0,
 
-2R1+3R2->R2



To make the -2 on row 1 column 2 become 0,

-2R2+5R1->R1


To make the leading coefficients become 1,

(1/15)R1->R1
(-1/5)R2->R2











Edwin

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