To solve a system of two equations (containing two variables per equation) with the substitution method, we follow these steps:
1. If neither equation is already solved for a variable, choose one of the equations and solve it for one of the variables of your choice.
We will call the equation you chose ‘equation1’, and the other one will be 'equation2'.
2. Take equation1 and substitute it into equation2 in all places where equation2 has the variable that you solved for in equation1, and solve for the remaining variable.
3. Take the value you got in step 2 and plug it into equation1, which should be solved for a variable, and solve.
4. You should now have a solution set for the system of equations. Plug both of these values back into your two original equations and confirm that they work.