The first thing you want to do when solving a system of equations is isolating one of the variables. Since the second equation only contains x, we can isolate x in the first equation.
y - x = 9 y = x + 9 x = y - 9
You can also solve the second equation without any previous solving. 12 = 1/3x Multiple both sides by 3/1 or 3 x = 36
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.