Write as a Vector Equality x+3y+6=0 , -x-3y=-6

Problem

x+3*y+6=0,−x−3*y=−6

Solution

1. Rearrange the first equation into the standard form a*x+b*y=c by moving the constant term to the right side.

x+3*y=−6

2. Align the two equations to form a system of linear equations.

x+3*y=−6

−x−3*y=−6

3. Separate the coefficients of x and y into distinct column vectors.

x*[[1],[−1]]+y*[[3],[−3]]=[[−6],[−6]]

4. Express the system as a single vector equality by combining the scalar multiples of the vectors.

[[x+3*y],[−x−3*y]]=[[−6],[−6]]

Final Answer

[[x+3*y],[−x−3*y]]=[[−6],[−6]]

Want more problems? Check here!