In exercises 21-28 an augmented matrix is given. Find the associated system and solve it by backsubstitution, if possible. {2 1 3 -6
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In Exercises $57-60$, write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables $x, y,$ and $z,$ if applicable.) $$ \left[\begin{array}{rrrrr} 1 & -1 & 2 & \vdots & 4 \\ 0 & 1 & -1 & \vdots & 2 \\ 0 & 0 & 1 & \vdots & -2 \end{array}\right] $$
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In Exercises $41-44,$ write the system of linear equations represented by the augmented matrix. Then use back-substitution to find the solution. (Use the variables $x, y,$ and $z,$ if applicable.) $$ \left[\begin{array}{rrrr}{1} & {2} & {-2} & {\vdots} & {-1} \\ {0} & {1} & {1} & {\vdots} & {9} \\ {0} & {0} & {1} & {\vdots} & {-3}\end{array}\right] $$
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Each augmented matrix is in row echelon form and represents a linear system. Use back-substitution to solve the system if possible. $$\left[\begin{array}{rr|r} 1 & 2 & 3 \\ 0 & 1 & -1 \end{array}\right]$$
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