Write as a Vector Equality 3x-4y=0 , 6x+5y=0

Problem

{[3*x−4*y=0],[6*x+5*y=0])

Solution

1. Identify the coefficients of the variables x and y in each equation of the system.

2. Express the system as a linear combination of constant vectors multiplied by the variables.

3. Group the coefficients of x into one vector and the coefficients of y into another vector.

4. Set the sum of these scaled vectors equal to the zero vector from the right-hand side of the equations.

Final Answer

x*[[3],[6]]+y*[[−4],[5]]=[[0],[0]]

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