Write as a Vector Equality x=5y-9 , x-2y=-6

Problem

{[x=5*y−9],[x−2*y=−6])

Solution

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

x−5*y=−9

x−2*y=−6

2. Identify the coefficients of the variables x and y to form the coefficient matrix A

A=[[1,−5],[1,−2]]

3. Define the vector of variables x and the vector of constants b

x=[[x],[y]]

b=[[−9],[−6]]

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

[[1,−5],[1,−2]]*[[x],[y]]=[[−9],[−6]]

Final Answer

[[1,−5],[1,−2]]*[[x],[y]]=[[−9],[−6]]

Want more problems? Check here!