Write as a Vector Equality 10x+2y=6 , -25x+ky=-14

Problem

{[10*x+2*y=6],[−25*x+k*y=−14])

Solution

1. Identify the coefficients of the variables x and y on the left side of each equation.

2. Express the system as a linear combination of two column vectors, where the first vector contains the coefficients of x and the second vector contains the coefficients of y

3. Equate this linear combination to the column vector containing the constants from the right side of the equations.

Final Answer

x*[[10],[−25]]+y*[[2],[k]]=[[6],[−14]]

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