The matrix that is the solution to the system of equations is given as follows:
[tex]\left[\begin{array}{ccc}2\\1\end{array}\right][/tex]
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are given as follows:
From the first equation, x = 11 - 5y, hence, replacing in the second equation:
11 - 5y - y = 5.
-6y = -6
6y = 6
y = 1.
x = 11 - 5y = 11 - 5 = 6.
The system has 2 variables, hence the solution matrix is 2 x 1 given as follows:
[tex]\left[\begin{array}{ccc}2\\1\end{array}\right][/tex]
More can be learned about a system of equations at https://brainly.com/question/24342899
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