create a matrix. use a graphing calculator to solve the system using the rref function.

-11x-4y=36
5x+5y=-10

Respuesta :

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]