Write as a Vector Equality x+4x-6=0 , 3x-y=7

Problem

{[x+4*y−6=0],[3*x−y=7])

Solution

1. Rearrange the equations into standard form a*x+b*y=c by moving the constant terms to the right side.

x+4*y=6

3*x−y=7

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

Coefficients of *x:([1],[3])

Coefficients of *y:([4],[−1])

3. Express the system as a linear combination of these column vectors, where the scalars are the variables x and y

x*([1],[3])+y*([4],[−1])=([6],[7])

Final Answer

x*([1],[3])+y*([4],[−1])=([6],[7])

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