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The values of "x" and "y" in the given matrix equation is 5 and 3 respectively.

What is matrix equation?

A matrix equation is an equation in which a matrix acts as a variable.

The given system of equation;

x + 2y = 11

x + 4y = 17

Matrix form of the equation

[1    2 ] =  [11]

[1   4  ]  =  [17]

determinate of the equation, Δ

Δ = [1    2 ]

      [1   4  ]  

Δ = (4 x 1) - (2 x 1) = 2

x determinate of the equation, Δx

Δx =  [11    2 ]

        [17   4  ]  

Δx  = (4 x 11) - (17 x 2) = 10

y determinate of the equation, Δy

Δy =  [1    11 ]

        [1   17  ]  

Δy = (17 x 1) - (11 x 1) = 6

Values of "x" and "y"

x = Δx/Δ

x = 10/2 = 5

y = Δy/Δ

y = 6/2 = 3

Thus, the values of "x" and "y" in the given matrix equation is 5 and 3 respectively.

Learn more about matrix equation here: https://brainly.com/question/11989522

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