Write as a Vector Equality -8y+6x=36 , 6x-y=15

Problem

{[−8*y+6*x=36],[6*x−y=15])

Solution

1. Rearrange the equations so that the variables x and y are in the same order in both equations.

6*x−8*y=36

6*x−y=15

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

Coefficients of *x:([6],[6])

Coefficients of *y:([−8],[−1])

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

x*([6],[6])+y*([−8],[−1])=([36],[15])

Final Answer

x*([6],[6])+y*([−8],[−1])=([36],[15])

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