Write as a Vector Equality 14x-28y=-22 , x+y=1

Problem

{[14*x−28*y=−22],[x+y=1])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Extract the coefficients of x from both equations to create the first vector: ([14],[1])

3. Extract the coefficients of y from both equations to create the second vector: ([−28],[1])

4. Identify the constants on the right side of the equations to form the resultant vector: ([−22],[1])

5. Write the system as a linear combination of these column vectors multiplied by their respective variables.

Final Answer

x*([14],[1])+y*([−28],[1])=([−22],[1])

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