Write as a Vector Equality 2x+2y=190 , x-y=25

Problem

{[2*x+2*y=190],[x−y=25])

Solution

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

2. Express the left side of the system as a linear combination of two vectors, where x and y are the scalar weights.

3. Set the resulting vector sum equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[2],[1]]+y*[[2],[−1]]=[[190],[25]]

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