Write as a Vector Equality p+m+l=1150 , p=4l-100 , p=6m+50

Problem

{[p+m+l=1150],[p=4*l−100],[p=6*m+50])

Solution

1. Rearrange the equations so that all variables p m and l are on the left side in the same order and constants are on the right side.

p+m+l=1150

p+0*m−4*l=−100

p−6*m+0*l=50

2. Identify the coefficients of each variable to form the column vectors for the vector equation.

Vector for *p:[[1],[1],[1]]

Vector for *m:[[1],[0],[−6]]

Vector for *l:[[1],[−4],[0]]

3. Construct the vector equality by multiplying each variable by its corresponding coefficient vector and setting the sum equal to the constant vector.

p*[[1],[1],[1]]+m*[[1],[0],[−6]]+l*[[1],[−4],[0]]=[[1150],[−100],[50]]

Final Answer

p*[[1],[1],[1]]+m*[[1],[0],[−6]]+l*[[1],[−4],[0]]=[[1150],[−100],[50]]

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