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Quality does not normally play any part in linear equations.
If you already know that x = -3 and y = 5 what linear equations are you wanting to solve?
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
Ask you math professor