Solution of a system of linear equations

Property A solution of a system of linear equations is any ordered pair that makes all the equations true. Explanation Think of it as a master key! An ordered pair is only a solution if it unlocks both equations. If it works for just one, the door stays shut. It must satisfy everyone to be the true answer. Examples Is $(1, 2)$ a solution for $3x + 2y = 7$ and $x = 7 3y$? Yes, because $3(1) + 2(2) = 7$ and $1 = 7 3(2)$ are both true. Is $(2, 3)$ a solution for $3x + 2y = 12$ and $x = 7 3y$? No, because $2 \neq 7 3(3)$.