Practice.
Solve by elimination:
2x2 − y = 0
–x + y = 3
| 2x2 − x = 3 | Add the equations | |
| 2x2 − x − 3 = 0 | Subtract 3 from both sides of the equation | |
| (2x − 3)(x + 1) = 0 | Factor | |
| x = 1.5 or | x = –1 | Solve each factor for x |
| 1.5 − y = –3 | –1 − y = –3 | Substitute the x-value into the linear equation |
| y = 4.5 | y = 2 | |
The solutions are (1.5, 4.5) and (-1, 2).
In your notes or on your own piece of paper, describe the features of a system of equations where elimination would be the easiest way to solve the system. Include an example of a system of equations to support your position.