Write as a Vector Equality x-4y=a , 2x+3y=-6

Problem

{[x−4*y=a],[2*x+3*y=−6])

Solution

1. Identify the coefficients of the variables x and y in each equation of the system.

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. Set the linear combination equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[2]]+y*[[−4],[3]]=[[a],[−6]]

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