Write as a Vector Equality (2x+3y)=7 , (x+4y)=5

Problem

{[2*x+3*y=7],[x+4*y=5])

Solution

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

2. Express the left side 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 formed by the constants on the right side of the equations.

Final Answer

x*[[2],[1]]+y*[[3],[4]]=[[7],[5]]

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