# Finite Math Examples

Solve Using a Matrix with Cramer's Rule
,
Represent the system of equations in matrix format.
The determinant of is .
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 to get .
Multiply by to get .
Subtract from to get .
The determinant of is .
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 to get .
Multiply by to get .
The determinant of is .
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 to get .
Multiply by to get .
Subtract from to get .
Find the value of by Cramer's Rule, which states that . In this case, .
Remove the parentheses from the numerator.
Move the negative in front of the fraction.
Find the value of by Cramer's Rule, which states that . In this case, .
Remove the parentheses from the numerator.
Move the negative in front of the fraction.
The solution to the system of equations using Cramer's Rule.