# Solve Using an Inverse Matrix -3x-4y=2 , 8y=-6x-4

Solve Using an Inverse Matrix -3x-4y=2 , 8y=-6x-4
,
Find the from the system of equations.
Find the inverse of the coefficient matrix of .
The inverse of a matrix can be found using the formula where is the determinant of .
If then
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 .
Multiply by .