Write as a Vector Equality 2r+s=3 , 4r+s=7 , 2r+5s=-1

Problem

{[2*r+s=3],[4*r+s=7],[2*r+5*s=−1])

Solution

1. Identify the coefficients of the variables r and s() in each equation to form the column vectors.

2. Group the coefficients of r into one vector and the coefficients of s() into another vector.

3. Represent the constants on the right side of the equations as a single resultant vector.

4. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting their sum equal to the constant vector.

Final Answer

r*[[2],[4],[2]]+s*[[1],[1],[5]]=[[3],[7],[−1]]

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