Objective:
To use linear combination to solve systems of linear equations.
Notes:
Steps to solve a system of equations by linear combination.
- Make sure both equations are in standard form.
- Multiply the first equation by the coefficient of the first variable of the second equation and the second equation by the coefficient of the first variable of the first equation.
- Distribute a negative so that one coefficient is positive and the other negative.
- Add the equations together. The first variable will cancel and be eliminated.
- Solve for the second variable.
- Substitute the answer from step 5 into one of the original equations and solve for the remaining variable.
- Check the answers in BOTH equations
- Write your answer as an ordered pair. (Use alphabetical order.)
Examples:
Find the solution by using linear combination.
