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Given the graphs of y = 4x - 2 and y = 2x – 6, which THREE statements are true?
A)
The system has one solution.
B)
The system has infinitely many solutions
Any point on either Line is a solution.
D)
The point of intersection is the solution.
E)
The point (-2.-10) is the only solution

Respuesta :

D the point of intersection is the solution

The true statements about the graph are as follows;

  • The system has one solution.
  • The point of intersection is the solution.
  • The point (-2.-10) is the only solution.

Given

The graphs of y = 4x - 2 and y = 2x – 6.

System of equations;

A  system of equations, also known as a set of simultaneous or an equation systems, is a finite set of equations for which we sought the common solutions.

To solve the graphs subtract equation 1 from equation 2.

[tex]\rm y-y=4x-2-2x+6\\\\0=2x+44\\\\2x=-4\\\\x=\dfrac{-4}{2}\\\\x=-2[/tex]

Substitute the value of x in equation 1

[tex]\rm y=4x-2\\\\y=4(-2)-2\\\\y=-8-2\\\\y=-10[/tex]

The point (-2.-10) is the only solution.

The true statements about the graph are as follows;

  • The system has one solution.
  • The point of intersection is the solution.
  • The point (-2.-10) is the only solution.

To know more about the system of equations click the link given below.

https://brainly.com/question/12895249

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