Write as a Vector Equality x=y+1320 , 0.09(y+1320)=0.12

Problem

{[x=y+1320],[0.09*(y+1320)=0.12])

Solution

1. Rearrange the first equation into standard form a*x+b*y=c by subtracting y from both sides.

x−y=1320

2. Simplify the second equation by distributing the 0.09 or recognizing that y+1320 is equal to x

0.09*x+0*y=0.12

3. Identify the coefficients of the variables x and y to form the matrix A and the constants to form the vector b

A=[[1,−1],[0.09,0]]

b=[[1320],[0.12]]

4. Construct the vector equality in the form A*x=b where x is the vector of variables.

[[1,−1],[0.09,0]]*[[x],[y]]=[[1320],[0.12]]

Final Answer

[[1,−1],[0.09,0]]*[[x],[y]]=[[1320],[0.12]]

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