Write as a Vector Equality y+x=3 , 2y+x=-7

Problem

{[y+x=3],[2*y+x=−7])

Solution

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

x+y=3

x+2*y=−7

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

Coefficients of *x:([1],[1])

Coefficients of *y:([1],[2])

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

x*([1],[1])+y*([1],[2])=([3],[−7])

Final Answer

x*([1],[1])+y*([1],[2])=([3],[−7])

Want more problems? Check here!