Write as a Vector Equality 3s+4t=17 , 7s-12t=13

Problem

{[3*s+4*t=17],[7*s−12*t=13])

Solution

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

2. Express the left side of the system as a linear combination of two vectors, where s() and t are the scalar weights.

3. Set the resulting vector sum equal to the vector of constants from the right side of the equations.

Final Answer

s*[[3],[7]]+t*[[4],[−12]]=[[17],[13]]

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