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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

Verified Answer :

Nirina7

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

calculista

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

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