Write as a Vector Equality 3g-4h=25 , 4g-5h=32

Problem

{[3*g−4*h=25],[4*g−5*h=32])

Solution

1. Identify the coefficients of the variables g and h in each equation to form the column vectors.

2. Express the system as a linear combination of vectors by multiplying the variable g by the vector of its coefficients and the variable h by the vector of its coefficients.

3. Equate the resulting vector sum to the vector containing the constants from the right-hand side of the equations.

Final Answer

g*[[3],[4]]+h*[[−4],[−5]]=[[25],[32]]

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