Write as a Vector Equality 1x+2y=4 , 3x+36=48

Problem

{[1*x+2*y=4],[3*x+36=48])

Solution

1. Standardize the equations by moving all terms containing variables to the left side and constants to the right side.

1*x+2*y=4

3*x+0*y=48−36

3*x+0*y=12

2. Identify the coefficients of the variables x and y to form the column vectors.

Coefficients of *x:([1],[3])

Coefficients of *y:([2],[0])

3. Express the system as a linear combination of these column vectors equated to the constant vector.

x*([1],[3])+y*([2],[0])=([4],[12])

Final Answer

x*([1],[3])+y*([2],[0])=([4],[12])

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