Write as a Vector Equality -4x-3x=-8 , 2x-2y=-3

Problem

−4*x−3*y=−8,2*x−2*y=−3

Solution

1. Identify the coefficients of the variables x and y from each equation to form the coefficient matrix.

2. Define the variable vector as a column vector containing x and y

3. Extract the constants from the right-hand side of the equations to form the constant vector.

4. Express the system as a single vector equation by multiplying the coefficient matrix by the variable vector and setting it equal to the constant vector.

Final Answer

([−4,−3],[2,−2])*([x],[y])=([−8],[−3])

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