Write as a Vector Equality m+3n=7 , n=-2

Problem

m+3*n=7,n=−2

Solution

1. Identify the variables and constants in the system of equations. We have two variables, m and n and two linear relationships.

2. Rewrite the second equation to include the missing variable m with a coefficient of zero. This gives the system:

1*m+3*n=7

0*m+1*n=−2

3. Express the system as a linear combination of vectors by separating the coefficients of m and n into distinct column vectors.

4. Formulate the vector equality by setting the sum of the scaled vectors equal to the vector of constants from the right-hand side.

Final Answer

m*[[1],[0]]+n*[[3],[1]]=[[7],[−2]]

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