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agasfer [191]
2 years ago
5

Using Cramer's Rule, the solution to the system of equations

Mathematics
1 answer:
Schach [20]2 years ago
7 0

Using Cramer's rule it is found that Dx = -34.

In Cramer's rule, we have three matrices.

  • x is a matrix in which the first column is the coefficients that multiply x, and the second are the coefficients on the right side of the equality.
  • y is a matrix in which the first column is composed by the coefficients on the right side of the equality and the second is the coefficients that multiply y.
  • M is a matrix in which the first column is the coefficients that multiply x, and the second is the coefficients that multiply y.

In this problem, the system is:

6x - 5y = -4

-7x + 3y = -1

Matrix x is given by:

x = \left[\begin{array}{ccc}6&-4\\-7&-1\\\end{array}\right]

It's determinant is given by:

Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34

Thus, Dx = -34.

A similar problem is given at brainly.com/question/24749091

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