Ronald rewrites a system of 2 linear equations as the augmented matrix below: Ronald then uses a matrix calculator to convert the matrix to reduced row echelon form, allowing him to see the solutions to \( x \) and \( y \). What is the value of \( x \) in the solution to Ronald's system?
Added by Amy R.
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The matrix is: \[ \begin{bmatrix} 9 & -2 & | & 3 \\ 1 & 0 & | & 1 \end{bmatrix} \] Show more…
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Write the solution of the linear system corresponding to the reduced augmented matrix.
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$4 x+8 y=44$ is shown in the graphing calculator The augmented matrix of the system $2 x-y=$ screen on the left as matrix [A]. The screen in the middle show echelon form for [A]. The screen on the right shows the "reduced" row echelon form, and from this it can be determined by inspection that the solution set of the system is $\{(1,5)\}$ Use a graphing calculator and either matrix method illustrated to solve each system. $$ \begin{aligned} &x+z=-3\\ &y+z=3\\ &x+y=8 \end{aligned} $$
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