Tell whether the ordered pair (5, -5) is a solution of the system
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Plug your ordered pair into both of your equations to see if you get they work.
That would be the "solution" to the set of equations.
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not a solution.
The solution of a system of linear equations is a pair of values that make both of the equations true.