Write as a Vector Equality y=8x-20 , y=-x+3

Problem

y=8*x−20,y=−x+3

Solution

1. Identify the system of linear equations in two variables.

y=8*x−20

y=−x+3

2. Rearrange each equation into standard form a*x+b*y=c by moving the x terms to the left side.

−8*x+y=−20

x+y=3

3. Express the system as a linear combination of vectors by separating the coefficients of x and y into distinct column vectors.

x*[[−8],[1]]+y*[[1],[1]]=[[−20],[3]]

Final Answer

x*[[−8],[1]]+y*[[1],[1]]=[[−20],[3]]

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