Write as a Vector Equality -3x+y=-6 , y=-1/2x+1

Problem

−3*x+y=−6,y=−1/2*x+1

Solution

1. Rearrange the equations into standard form a*x+b*y=c so that the variables x and y are aligned on the left side.

−3*x+y=−6

1/2*x+y=1

2. Identify the coefficients of x and y to form the coefficient matrix and the constants to form the result vector.

Coefficients of *x:−3,1/2

Coefficients of *y:1,1

Constants:−6,1

3. Express the system as a linear combination of two column vectors, where x and y are the scalar weights.

x*[[−3],[1/2]]+y*[[1],[1]]=[[−6],[1]]

Final Answer

x*[[−3],[1/2]]+y*[[1],[1]]=[[−6],[1]]

Want more problems? Check here!