Using cramer's rule, what is the value of x in the system of linear equations below? 3x + 4y = 12 x-6y=-18

0

Step-by-step explanation:

We find the determinant of a matrix by the method below. If we have a matrix:

The determinant is

Now, using cramer's rule, we find x-value by the formula:

Where D is the determinant of the original problem and is the determinant of the x-value matrix. How do we get those?

To get original matrix and thus D, we set up the matrix as the coefficients of x and y (s) of both the equations and to get matrix of x-value and thus , we replace the x values of the matrix with the numbers in the right hand side of the 2 equations. We show this below:

To get D:

To get :

Putting into the formula, we get:

Thus, the value of x is 0

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step-by-step explanation:

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