Write as a Vector Equality y+3x=1 , 6x+2y=4

Problem

{[y+3*x=1],[6*x+2*y=4])

Solution

1. Rearrange the equations so that the variables x and y are in the same order in both equations.

3*x+y=1

6*x+2*y=4

2. Identify the coefficients of x and y to form the column vectors for each variable.

Coefficients of *x:([3],[6])

Coefficients of *y:([1],[2])

3. Express the system as a linear combination of these column vectors set equal to the vector of constants.

x*([3],[6])+y*([1],[2])=([1],[4])

Final Answer

x*([3],[6])+y*([1],[2])=([1],[4])

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