Write as a Vector Equality 8x-2y=1 , y=x+1

Problem

8*x−2*y=1,y=x+1

Solution

1. Rearrange the second equation into standard form a*x+b*y=c by subtracting x from both sides.

y−x=1

−x+y=1

2. Identify the system of linear equations in standard form.

8*x−2*y=1

−x+y=1

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

x*([8],[−1])+y*([−2],[1])=([1],[1])

Final Answer

x*([8],[−1])+y*([−2],[1])=([1],[1])

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