Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology. What is the solution to the system?

(2, 6)

(3, 6)

No Solutions

Infinite Solutions

Respuesta :

y = 2x + 6

3y = 6x + 18 or  y = 2x + 6

so the graph of the two lines are the same

consequently, they system has
Infinite Solutions

Answer:

The system has infinite solutions

Step-by-step explanation:

we have

[tex]y=2x+6[/tex] ----> equation A

[tex]3y=6x+18[/tex] ----> equation B

Multiply by [tex]3[/tex] equation A

[tex]3y=3*(2x+6)[/tex] ----->[tex]3y=6x+18[/tex] -----> equation C

equation C and equation B are the same line

The system of equations is a consistent dependent system

The system has infinite solutions

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