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

Problem

3*x=2*y+1,y=x

Solution

1. Rearrange the equations into standard form a*x+b*y=c so that the variables x and y are on the left side and constants are on the right.

3*x−2*y=1

−x+y=0

2. Identify the coefficients of the variables to form a system of linear equations.

3*x+(−2)*y=1

−1*x+1*y=0

3. Express the system as a linear combination of two-dimensional vectors by separating the x and y components.

x*[[3],[−1]]+y*[[−2],[1]]=[[1],[0]]

Final Answer

x*[[3],[−1]]+y*[[−2],[1]]=[[1],[0]]

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