Write as a Vector Equality y=1/3x-1 , -2x+y=4

Problem

y=1/3*x−1,−2*x+y=4

Solution

1. Rearrange the equations into standard form a*x+b*y=c to align the variables.

−1/3*x+y=−1

−2*x+y=4

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

A=[[−1/3,1],[−2,1]]

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

v=[[x],[y]]

b=[[−1],[4]]

4. Construct the vector equality by multiplying the coefficient matrix by the variable vector and setting it equal to the constant vector.

[[−1/3,1],[−2,1]]*[[x],[y]]=[[−1],[4]]

Final Answer

[[−1/3,1],[−2,1]]*[[x],[y]]=[[−1],[4]]

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