Write as a Vector Equality y=x-14 , y=-4x+11

Problem

{[y=x−14],[y=−4*x+11])

Solution

1. Rearrange each equation into standard form a*x+b*y=c so that the variables x and y are on the left side.

x−y=14

4*x+y=11

2. Identify the coefficients of x and y to form the column vectors for each variable.

Coefficients of *x:([1],[4])

Coefficients of *y:([−1],[1])

3. Express the system as a linear combination of these column vectors equated to the constant vector.

x*([1],[4])+y*([−1],[1])=([14],[11])

Final Answer

x*([1],[4])+y*([−1],[1])=([14],[11])

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