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Sergeeva-Olga [200]
3 years ago
13

Use the matrix tool to solve the system of equations. Enter the answer as an

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

x=\frac{1}{4}

y=-2

Step-by-step explanation:

Given:

8x + y = 0

4x-y=3

Convert your equation into matrices form

\begin{bmatrix}8&1&0\\4&-1&3\end{bmatrix}

Solve using reduced row reduction (RREF)

\begin{bmatrix}8&1&0\\4&-1&3\end{bmatrix}

\begin{bmatrix}8&1&0\\8&-2&6\end{bmatrix}

\begin{bmatrix}8&1&0\\0&-3&6\end{bmatrix}

\begin{bmatrix}8&1&0\\0&-1&2\end{bmatrix}

\begin{bmatrix}8&0&2\\0&-1&2\end{bmatrix}

\begin{bmatrix}1&0&\frac{2}{8}\\0&1&-2\end{bmatrix}

\begin{bmatrix}1&0&\frac{1}{4}\\0&1&-2\end{bmatrix}

x=\frac{1}{4}

y=-2

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