Question

Find the solution to the system of equations. Select all that apply. Y=x^2-2x-3. Y=x-3

Answer 1

Answer:

The solution to the system of equations are (0 , -3) ⇒ answer B and

(3 , 0) ⇒ answer D

Step-by-step 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