Write as a Vector Equality x+3y=10 , 4x+12y=40

Problem

{[x+3*y=10],[4*x+12*y=40])

Solution

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

2. Group the coefficients of x into a single column vector and the coefficients of y into another column vector.

3. Represent the constants on the right side of the equations as a single column vector.

4. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting their sum equal to the constant vector.

Final Answer

x*[[1],[4]]+y*[[3],[12]]=[[10],[40]]

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