Write as a Vector Equality (2x-3y)=-18 , (x-y)=8

Problem

{[2*x−3*y=−18],[x−y=8])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Separate the variables into a scalar-vector product where x and y multiply their respective coefficient vectors.

3. Equate the linear combination of the vectors to the vector of constants from the right-hand side of the equations.

4. Construct the final vector equality by placing the xcoefficients in the first vector, the ycoefficients in the second vector, and the constants in the result vector.

Final Answer

x*[[2],[1]]+y*[[−3],[−1]]=[[−18],[8]]

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