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Sagot :

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:

  • 2x - 6y = -1.
  • -10x + 9y = 5.
  • 3x + 0y = 5.

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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