Write as a Vector Equality x+y=12 , 0.04x+0.12y=0.09(12)

Problem

{[x+y=12],[0.04*x+0.12*y=0.09*(12)])

Solution

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

2. Express the left side of the system as a linear combination of two column vectors, where x and y act as the scalar weights.

3. Calculate the constant value on the right side of the second equation, where 0.09×12=1.08

4. Construct the final vector equality by setting the linear combination of the column vectors equal to the vector of constants.

Final Answer

x*[[1],[0.04]]+y*[[1],[0.12]]=[[12],[1.08]]

Want more problems? Check here!