How do you solve systems of linear equations using substitution or elimination methods?

There are two common methods for solving systems of linear equations: substitution and elimination. To solve a system using substitution, solve one equation for one variable in terms of the other, and then substitute that expression into the other equation. This results in an equation with only one variable, which can be solved. The value obtained is then substituted back into one of the original equations to solve for the other variable.

The elimination method involves adding or subtracting the equations in a way that eliminates one of the variables. This can be done by multiplying one or both equations by a constant or by adding or subtracting one equation from the other. After one variable has been eliminated, the resulting equation can be solved for the remaining variable. This process is then repeated to solve for the other variable.