Write as a Vector Equality y=6x+2 , y=4x-12

Problem

y=6*x+2,y=4*x−12

Solution

1. Identify the system of linear equations in two variables, x and y

2. Rewrite each equation so that all terms involving variables are on one side and constants are on the other.

6*x−y=−2

4*x−y=12

3. Express the system as a linear combination of constant vectors multiplied by the variables x and y

x*[[6],[4]]+y*[[−1],[−1]]=[[−2],[12]]

4. Alternatively, represent the system in the standard matrix-vector form A*x=b

[[6,−1],[4,−1]]*[[x],[y]]=[[−2],[12]]

Final Answer

[[6,−1],[4,−1]]*[[x],[y]]=[[−2],[12]]

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