Question: Linear Algrbra Solve the following system using augmented matrix methods: 3 x 12 x 21 x 3=20 15 x 1+10 x 2+6 x 3=96 15

Linear Algrbra Solve the following system using augmented matrix methods:

3x12x21x3=20

15x1+10x2+6x3=96

15x110x25x3=100

What are the solutions to the system?

x1= -8-2/3 incorrect

x2= 0 incorrect

x3= 4 correct answer

Note: If there are no solutions, write "No Solution" or "None" for each answer. If there are infinitely many solutions, and the solution set describes a line (that is, if there is only one free variable), set x2=t and solve for the remaining variables in terms of t. If there are infinitely many solutions, and the solution set describes a plane (that is, if the solution set has two free variables), set the variables x3=t and x2=s, and then solve for x1 in terms of s and t.

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