Write as a Vector Equality 4x+5y=3 , 8x+10y=6

Problem

{[4*x+5*y=3],[8*x+10*y=6])

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 for the vectors ([4],[8]) and ([5],[10]) respectively.

3. Set the resulting vector sum equal to the vector formed by the constants on the right side of the equations, which are 3 and 6

Final Answer

x*([4],[8])+y*([5],[10])=([3],[6])

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