Write as a Vector Equality x^2+2xy-y^2=-17 , x^2-y^2=-45

Problem

{[x2+2*x*y−y2=−17],[x2−y2=−45])

Solution

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

2. Define the vector function ƒ(x,y) by grouping the expressions on the left-hand side of each equation into a single column vector.

3. Define the constant vector by grouping the values on the right-hand side of each equation into a single column vector.

4. Equate the vector function to the constant vector to form the vector equality.

Final Answer

[[x2+2*x*y−y2],[x2−y2]]=[[−17],[−45]]

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