Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. $$ \left\{\begin{array}{l} x+2 y=5 \\ x+y=3 \end{array}\right. $$
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Step 1
First, we can write the system of equations in matrix form as: $$ \begin{bmatrix} 1 & 2 \\ 1 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 5 \\ 3 \end{bmatrix} $$ Show more…
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