Write as a Vector Equality y=1x+4 , y=2x-1

Problem

{[y=1*x+4],[y=2*x−1])

Solution

1. Rearrange each equation into standard form a*x+b*y=c by moving the x terms to the left side.

−1*x+y=4

−2*x+y=−1

2. Identify the coefficients of x and y to form the coefficient matrix and the constants to form the result vector.

Coefficients of *x:[[−1],[−2]]

Coefficients of *y:[[1],[1]]

Constants:[[4],[−1]]

3. Construct the vector equation by multiplying the variable scalars by their respective column vectors.

x*[[−1],[−2]]+y*[[1],[1]]=[[4],[−1]]

Final Answer

x*[[−1],[−2]]+y*[[1],[1]]=[[4],[−1]]

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