Answer:
The solution to the system of equations are (0 , -3) ⇒ answer B and
(3 , 0) ⇒ answer D
Explanation:
* Lets explain the problem
- The quadratic equation represented by parabola
- The linear equation represented by line
- If the two equation solved together, then we have 3 types of solutions
# They intersected in two different points (2 solution)
# They intersected in one point (1 solution)
# They did not intersect in any points (No solution)
* Now lets solve the problem
∵ The quadratic equation is y = x² - 2x - 3
- It represented by parabola (red graph)
∵ The linear equation is y = x - 3
- It represented by line (blue graph)
- The two graphs intersect each other at points (3 , 0) and (0 , -3)
∵ The solution of the system of the equation is the intersection points
between the two graphs
∵ The two graphs intersect each other at points (3 , 0) and (0 , -3)
∴ The solution to the system of equations are (3 , 0) and (0 , -3)
* The solutions are B and D