Write as a Vector Equality x^2-y^2=48 , x^2-xy-2y^2=40

Problem

{[x2−y2=48],[x2−x*y−2*y2=40])

Solution

1. Identify the components of the system of equations to be represented as a vector.

2. Define a vector function F(x,y) that maps the variables to the left-hand side expressions of the system.

3. Set the vector function equal to a constant vector containing the values from the right-hand side of the equations.

4. Construct the final vector equality by placing the expressions into a column vector format.

Final Answer

[[x2−y2],[x2−x*y−2*y2]]=[[48],[40]]

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