Write as a Vector Equality y=3x , 2x-3y=22

Problem

y=3*x,2*x−3*y=22

Solution

1. Rearrange the first equation into standard form by moving all variables to one side.

3*x−y=0

2. Identify the coefficients of x and y from both equations to form the coefficient matrix.

A=[[3,−1],[2,−3]]

3. Define the variable vector and the constant vector.

x=[[x],[y]]

b=[[0],[22]]

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

[[3,−1],[2,−3]]*[[x],[y]]=[[0],[22]]

Final Answer

[[3,−1],[2,−3]]*[[x],[y]]=[[0],[22]]

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