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Write a matrix to represent the system

2a - 3b = 6
a + b = 2

A.
2 -3 6
1 1 2

B.
2 1 -3
1 6 2

C.
a b 6
a b 2

D.
2a -3b 6
a b 2

Respuesta :

Here, we are required to write a matrix to represent the system of equations;

  • 2a - 3b = 6
  • a + b = 2

The correct answer is Choice A.

To generate a matrix to represent the system bof equations,the coefficients of each variables are filled into the matrix as the elements of the matrix accordingly;

As such,

  • On the first column of the matrix, the coefficients of variable, a in both equations are filled accordingly,
  • i.e 2 and 1.
  • On the second column of the matrix, the coefficients of variable, b in both equations are filled accordingly,
  • i.e -3 and 1.

However, on the last column of the matrix;

  • The constants in both equations are filled accordingly too, i.e 6 and 2

Therefore, since Choice A follows the guide above, it is the required matrix to represent the system of equations.

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