Write as a Vector Equality y=3x-7 , y-3x=5

Problem

y=3*x−7,y−3*x=5

Solution

1. Rewrite the equations in standard form A*x+B*y=C to align the variables.

−3*x+y=−7

−3*x+y=5

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

x*([−3],[−3])+y*([1],[1])=([−7],[5])

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

([−3*x+y],[−3*x+y])=([−7],[5])

Final Answer

([−3,1],[−3,1])*([x],[y])=([−7],[5])

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