Write as a Vector Equality 6x-2y=10 , 5x+3y=-1

Problem

{[6*x−2*y=10],[5*x+3*y=−1])

Solution

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

2. Extract the x coefficients 6 and 5 to create the first vector, and the y coefficients −2 and 3 to create the second vector.

3. Represent the system as a linear combination of these vectors, where x and y act as scalar multipliers.

4. Equate this combination to the vector formed by the constants on the right side of the equations, 10 and −1

Final Answer

x*[[6],[5]]+y*[[−2],[3]]=[[10],[−1]]

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