Write as a Vector Equality 2p+3q=1 , p+4q=3

Problem

{[2*p+3*q=1],[p+4*q=3])

Solution

1. Identify the coefficients of the variables p and q in each equation to form the column vectors.

2. Group the coefficients of p into a single vector and the coefficients of q into another vector.

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

4. Combine these components into a single vector equation where the scalars p and q multiply their respective coefficient vectors.

Final Answer

p*[[2],[1]]+q*[[3],[4]]=[[1],[3]]

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