# Solve Using an Inverse Matrix x=2y-5 , 2x-4y=-10

,
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 .
Substitute the known values into the formula for the inverse of a matrix.
Simplify each element of the matrix .
Rearrange .
Rearrange .
Multiply by each element of the matrix.
Rearrange .
Since the matrix is undefined, it cannot be solved.
Undefined
Solve Using an Inverse Matrix x=2y-5 , 2x-4y=-10

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