Write as a Vector Equality 4x+2y=6 , y=4-2x

Problem

4*x+2*y=6,y=4−2*x

Solution

1. Identify the system of linear equations provided in the task.

4*x+2*y=6

2*x+y=4

2. Represent the coefficients of the variables x and y as a matrix A and the variables as a vector x

A=[[4,2],[2,1]]

x=[[x],[y]]

3. Represent the constants on the right side of the equations as a vector b

b=[[6],[4]]

4. Formulate the vector equality by expressing the system in the form A*x=b or as a linear combination of column vectors.

x*[[4],[2]]+y*[[2],[1]]=[[6],[4]]

Final Answer

[[4,2],[2,1]]*[[x],[y]]=[[6],[4]]

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