Write as a Vector Equality x+4y=12 , -2+2y=0

Problem

{[x+4*y=12],[−2*x+2*y=0])

Solution

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

2. Separate the variables into a linear combination where each variable scales a vector of its corresponding coefficients.

3. Construct the vector equation by setting the sum of the scaled vectors equal to the vector of constants from the right side of the equations.

Final Answer

x*[[1],[−2]]+y*[[4],[2]]=[[12],[0]]

Want more problems? Check here!