Key Concepts
- The substitution method is used when one equation is already solved for a variable.
- Steps:
- Solve one equation for (x) or (y).
- Substitute into the second equation.
- Solve for the remaining variable.
- Substitute back to find the other variable.
Skills Covered
- Manipulating equations to express a variable in terms of another.
- Substituting expressions into equations.
- Solving for one variable at a time.
Example Problem
Solve the system using substitution: (y = 2x + 1) (3x + 2y = 12)