Mastering Cramer's Rule for Systems of Equations

What is the first step in using Kramer's Rule after ensuring equations are in standard form?

• Set up the three matrices using coefficients

• Calculate the determinant of each matrix

• Substitute values from one equation into another

• Graph the equations

How is the determinant of a 2x2 matrix calculated?

• Addition of products of diagonals

• Subtraction of products of diagonals

• Division of one diagonal by another

• Multiplication of all elements

What is replaced in the DX matrix?

• Y coefficients with constants

• Constants with X coefficients

• X coefficients with constants

• None of the above

What is the purpose of replacing the Y coefficients with constants in the Dy matrix?

• To solve for X

• None of the above

• To solve for Y

• To find the determinant

Which matrix involves keeping the X coefficients and replacing Y coefficients with constants?

• None of the above

• D Matrix

• DX Matrix

• Dy Matrix

What is the result of dividing DX by D in the example provided?

• 9

• 1

• 2

• 3

What does the ordered pair (9,1) represent in the context of the system of equations solved?

• None of the above

• Determinants of matrices

• Solution to the system of equations

• Coefficients of the equation

In the second example, what is the determinant of the D matrix?

• 69

• 23

• 14

• 46

What values of X and Y are found in the second example?

• X=5, Y=3

• X=2, Y=-5

• X=9, Y=1

• X=3, Y=2

What is the final ordered pair solution in the second example?

• (2, -5)

• (5, 3)

• (3, 2)

• (9, 1)