The matrix equation can be written as a set of equations.

Subtract from both sides of the equation.

Replace all occurrences of in with .

Simplify each term.

Apply the distributive property.

Multiply by .

Multiply by .

Add and .

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Replace all occurrences of in with .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Find the Variables [[2x],[x]]-[[8y],[y]]=[[12],[1]]