Nichols Luna
09/25/2023 · Middle School
Solve the following system of equations using an inverse matrix. You must also indicate the inverse matrix, \( A^{-1} \), that was used to solve the system. You may optionally write the inverse matrix with a scalar coefficient. \[ \begin{array}{l}2 x-6 y=-5 \\ -x+y=4\end{array} \] Answer Attempt 3 out of 4 .
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The solution to the system is \( (x,y) = (-\frac{19}{4},-\frac{3}{4}) \). The inverse matrix \( A^{-1} \) used is \( \begin{bmatrix} -\frac{1}{4} & -\frac{3}{2} \\ -\frac{1}{4} & -\frac{1}{2} \end{bmatrix} \).
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