Linear Combination
1. 3x + 5y =-16
2. 3x - 2y =-9
| 1. 3x + 5y = -16 2. 3x - 2y = -9 |
You would begin by multiplying one equation by -1 so that 1 variable will cancel out. |
| -3x - 5y = 16 3x -2y = -9 |
Then you add the equations together |
| -7y = 7 | Then you would solve for that one variable |
| y = -1 | you would then go back to using substitution and insert your answer into one of the above variables |
| 3x - 2(-1) = -9 | Solve for that variable |
| x = -11/3 | put your answers together |
| (-11/3, -1) | the end |