Write as a Vector Equality y=3x-2 , y=x

Problem

y=3*x−2,y=x

Solution

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

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

3. Rewrite the first equation y=3*x−2 as −3*x+y=−2

4. Rewrite the second equation y=x as −x+y=0

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

6. Formulate the vector equality by grouping the coefficients of x into one vector and the coefficients of y into another vector, set equal to the constant vector.

Final Answer

x*[[−3],[−1]]+y*[[1],[1]]=[[−2],[0]]

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