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

Problem

4*x+4=y,y=6*x

Solution

1. Rearrange the equations into standard form where all variables are on one side and constants are on the other.

4*x−y=−4

6*x−y=0

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

Coefficients of *x:([4],[6])

Coefficients of *y:([−1],[−1])

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

x*([4],[6])+y*([−1],[−1])=([−4],[0])

Final Answer

x*([4],[6])+y*([−1],[−1])=([−4],[0])

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