Write as a Vector Equality -x+3y=-6 , x=6+3y

Problem

−x+3*y=−6,x=6+3*y

Solution

1. Rearrange the equations into standard form where all variables are on the left side and constants are on the right side.

−x+3*y=−6

x−3*y=6

2. Identify the coefficients of the variables x and y to form the coefficient matrix.

([−1,3],[1,−3])

3. Define the variable vector and the constant vector.

Variable vector=([x],[y])

Constant vector=([−6],[6])

4. Construct the vector equality by expressing the system as a linear combination of the column vectors.

x*([−1],[1])+y*([3],[−3])=([−6],[6])

Final Answer

x*([−1],[1])+y*([3],[−3])=([−6],[6])

Want more problems? Check here!