Write the augmented matrix of the following system of equations. {(8x+4y+2=0),(4x-8y-6=0):}

Write the augmented matrix of the following system of equations. {(8x+4y+2=0),(4x-8y-6=0):}

Question
Equations
asked 2020-10-21
Write the augmented matrix of the following system of equations.
\(\displaystyle{\left\lbrace\begin{array}{c} {8}{x}+{4}{y}+{2}={0}\\{4}{x}-{8}{y}-{6}={0}\end{array}\right.}\)

Answers (1)

2020-10-22
Step 1
Write the augmented matrix of the following system of equations.
8x+4y+2=0
4x-8y-6=0
Step 2
Rewrite the given equations
8x+4y=-2
4x-8y=6
AX=b
\(\displaystyle{\left[\begin{array}{cc} {8}&{4}\\{4}&-{8}\end{array}\right]}{\left[\begin{array}{c} {x}\\{y}\end{array}\right]}={\left[\begin{array}{c} -{2}\\{6}\end{array}\right]}\)
Step 3
Augmented matrix of the given system of equations
\(\displaystyle{\left[{A}:{b}\right]}={\left[\begin{array}{cc|c} {8}&{4}&-{2}\\{4}&-{8}&{6}\end{array}\right]}\)
0

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