Question

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

Answer 1

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 2

Answer:

The system has infinite solutions

Step-by-step explanation:

we have

$y=2x+6$ ----> equation A

$3y=6x+18$ ----> equation B

Multiply by $3$ equation A

$3y=3*(2x+6)$ ----->$3y=6x+18$ -----> 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