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A drawing has a collection of 8-legged spiders and 6-legged beetles.
There are a total of 9 animals in the drawing with a total of 60 legs.
Which matrix can be used to represent this system of linear equations
to determine the number of spiders and beetles used in the drawing?

Respuesta :

The matrix that can be used to represent the system of equations is:

[tex]\left[\begin{array}{ccc}1&1&9\\8&6&60\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.

For this problem, the variables are:

  • Variable x: Number of 8-legged spiders.
  • Variable y: Number of 6-legged beetles.

There are a total of 9 animals in the drawing with a total of 60 legs, hence the equations are given by:

  • x + y = 9.
  • 8x + 6y = 60.

Hence the matrix of coefficients is:

[tex]\left[\begin{array}{ccc}1&1&9\\8&6&60\end{array}\right][/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

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