Write as a Vector Equality 7x+5y=3 , 2x+3y=-7

Problem

{[7*x+5*y=3],[2*x+3*y=−7])

Solution

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

2. Express the system as a linear combination of these column vectors by multiplying the first column by x and the second column by y

3. Equate the resulting vector sum to the vector containing the constants from the right side of the equations.

Final Answer

x*[[7],[2]]+y*[[5],[3]]=[[3],[−7]]

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