Question

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

6x−5y=−4−7x+3y=−1

can be written in the form (DxD,DyD).

What is the value of Dx?

Answer 1

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 https://brainly.com/question/24749091