Write as a Vector Equality 2x+4y=6 , 5x+10y=15

Problem

2*x+4*y=6,5*x+10*y=15

Solution

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

2. Group the coefficients of x into a single vector and the coefficients of y into another vector.

3. Factor out the variables x and y as scalars multiplying their respective coefficient vectors.

4. Set the sum of these scaled vectors equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[2],[5]]+y*[[4],[10]]=[[6],[15]]

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