Answer:
[tex]x=-\dfrac{44}{7}[/tex]
[tex]y=\dfrac{58}{7}[/tex]
Step-by-step explanation:
Arrange the equations so that all the variables are in columns (x as the first column, y as the second, equals a number as the third):
-11x - 4y = 36
5x + 5y = -10
Define and edit Matrix A. We need a 3 x 2 matrix. Input the coefficients and constant:
[tex]\left[\begin{array}{ccc}-11&-4&36\\5&5&-10\end{array}\right][/tex]
Find rref function, enter matrix A: rref([A]) (press enter)
This gives you:
[tex]\left[\begin{array}{ccc}1&0&-\frac{44}{7}\\0&1&\frac{58}{7}\end{array}\right][/tex]
which means:
[tex]x=-\dfrac{44}{7}[/tex]
[tex]y=\dfrac{58}{7}[/tex]