Write as a Vector Equality y=2x-2 , y-2x=5

Problem

y=2*x−2,y−2*x=5

Solution

1. Rewrite the equations in standard form a*x+b*y=c to align the variables.

−2*x+y=−2

−2*x+y=5

2. Identify the coefficients of the variables x and y to form the column vectors.

x*([−2],[−2])+y*([1],[1])=([−2],[5])

3. Express the system as a single vector equality by grouping the left side into a linear combination of vectors.

([−2*x+y],[−2*x+y])=([−2],[5])

Final Answer

([−2],[−2])*x+([1],[1])*y=([−2],[5])

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