# Finite Math Examples

Solve Using a Matrix with Cramer's Rule
,
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Represent the system of equations in matrix format.
Find the determinant of .
These are both valid notations for the determinant of a matrix.
The determinant of a matrix can be found using the formula .
Simplify the determinant.
Simplify each term.
Multiply by .
Multiply by .
Subtract from .
Find the determinant of .
These are both valid notations for the determinant of a matrix.
The determinant of a matrix can be found using the formula .
Simplify the determinant.
Simplify each term.
Multiply by .
Multiply by .
Subtract from .
Find the determinant of .
These are both valid notations for the determinant of a matrix.
The determinant of a matrix can be found using the formula .
Simplify the determinant.
Simplify each term.
Multiply by .
Multiply by .
Subtract from .
Find the value of by Cramer's Rule, which states that . In this case, .
Remove parentheses.
Dividing two negative values results in a positive value.
Find the value of by Cramer's Rule, which states that . In this case, .
Remove parentheses.
Dividing two negative values results in a positive value.
The solution to the system of equations using Cramer's Rule.