Write as a Vector Equality 5x-2y=12 , x=-y+1

Problem

5*x−2*y=12,x=−y+1

Solution

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

5*x−2*y=12

x+y=1

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

Coefficients of *x:([5],[1])

Coefficients of *y:([−2],[1])

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

x*([5],[1])+y*([−2],[1])=([12],[1])

Final Answer

x*([5],[1])+y*([−2],[1])=([12],[1])

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