Question

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Answer 1

Answer:

This system of equations has infinite points of intersection

Step-by-step explanation:

* To know the point of intersection of the system of equations,

  you will solve the graphically or algebraically

- Graphically by drawing two lines on the coordinate plane

- Algebraically by substitution method or elimination method

* Lets use the substitution method

∵ y = 4 - x

∵ 2y = 8 - 2x

- Substitute y in the second equation by its value in the

 first equation

∴ 2(4 - x) = 8 - 2x ⇒ open the bracket

∴ 8 - 2x = 8 - 2x

* The two sides equal each other, that means we can use any

  vales of x, and on the graph they will be the same line for

  the two equations

∴ This system of equations has infinite points of intersection