Write as a Vector Equality 2x+3y=6 , 8x+12y=0

Problem

2*x+3*y=6,8*x+12*y=0

Solution

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

2. Represent the variables x and y as a single column vector.

3. Group the constants on the right side of the equations into a result column vector.

4. Combine these components into a single vector equation where the linear combination of the coefficient vectors equals the constant vector.

Final Answer

x*[[2],[8]]+y*[[3],[12]]=[[6],[0]]

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