Write as a Vector Equality -9x-4y=7 , -2x-5y=18

Problem

{[−9*x−4*y=7],[−2*x−5*y=18])

Solution

1. Identify the coefficients of the variables x and y from each equation to form the column vectors.

2. Separate the variables into a single vector ([x],[y]) that multiplies the coefficient vectors.

3. Express the system as a linear combination of vectors by setting the sum of the scaled coefficient vectors equal to the constant vector.

4. Rewrite the linear combination as a single matrix-vector product if required for the standard vector equality form.

Final Answer

x*([−9],[−2])+y*([−4],[−5])=([7],[18])

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