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

,

Find the from the system of equations.

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 .

Add and .

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

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