Question

Use the matrix tool to solve the system of equations. Enter the answer as an
ordered pair.
8x + y = 0
4x-y=3

Answer 1

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)

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

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

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

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

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

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

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

$x=\frac{1}{4}$

$y=-2$