The coefficient matrix for the given system of equations is as follows:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The augmented matrix of a system is composed as follows:
- The first column has the coefficients of x.
- The second column has the coefficients of y.
- The last column has the results, that is, the values of the other side of the equality.
In standard notation, this system is given as follows:
Hence the augmented matrix is given by:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
More can be learned about a system of equations at https://brainly.com/question/24342899
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