Answer:
(3, 0) and (-1, -8)
Step-by-step explanation:
Equation 1
- 2x - y = 6
- Rearrange it so that it is equal to 'y'
- -y = 6 - 2x
- y = 2x - 6
Substituting the value of y in Equation 2
- y = x² - 9
- ⇒ 2x - 6 = x² - 9
- ⇒ x² - 2x - 3 = 0
- ⇒ x² + x - 3x - 3 = 0
- ⇒ x(x + 1) - 3(x + 1) = 0
- ⇒ (x - 3)(x + 1) = 0
- ⇒ x = 3, -1
Taking x = 3
- y = 2(3) - 6
- y = 0
- Solution 1 = (3, 0)
Taking x = -1
- y = 2(-1) - 6
- y = -2 - 6
- y = -8
- Solution 2 = (-1, -8)
Solutions
