What method can be used to solve a system of equations?

The method of substitution or elimination is widely used to solve systems of equations, particularly those that involve linear equations.

When employing the substitution method, one equation is solved for one variable, which can then be substituted into the other equation. This transforms the system into a single equation that can be more easily solved.

The elimination method works by adding or subtracting equations to eliminate one of the variables, allowing for the solution of the remaining equation. This method is particularly effective when the equations are aligned in a way that facilitates quick cancellation of variables.

Both methods provide clear pathways to finding the values of the variables that satisfy all equations in the system. They are fundamental techniques taught in mathematics primarily because they are systematic and can be applied to various levels of difficulty in equations, making them versatile tools for students.