How to know if your solution to a system of linear equation is correct?

You substitute your solutions values into the system of equations and see if everything is a true statement. solutions are solutions because those solution values of x and y satisfy all the equations in the system.you could also graph the linear equations and seeing if the intersection point matches up with your solutions.for example, consider the system    the ordered pair solution for this system is  , that is,  .to confirm, substitute those values into the equations  into their respective places.        they're all true statements. it's a solution because those values of x and y satisfy both equations.