Write as a Vector Equality p-3q=4s , 2p=s+5r

Problem

{[p−3*q=4*s()],[2*p=s+5*r])

Solution

1. Identify the variables as vectors. In vector equality, we treat p q r and s() as vector quantities, often denoted as p q r and s()

2. Rewrite the first equation by ensuring all terms are expressed as a linear combination of vectors. The equation p−3*q=4*s() represents a relationship where the vector p minus three times vector q equals four times vector s()

3. Rewrite the second equation 2*p=s+5*r to show that two times vector p is equal to the sum of vector s() and five times vector r

4. Express the system as a set of vector equalities.

Final Answer

{[p−3*q=4*s()],[2*p=s+5*r])

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