Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. what is the solution to the system?

a. (3, 2)
b. no solutions
c. (9, 2)
d. infinite solutions

Option: D is the correct answer.

D) Infinite solutions.

Step-by-step explanation:

We are given a system of equations as:

                y=3x+2--------(1)

and,           3y=9x+6----------(2)

on dividing both side of the equation (2) we obtain:

y=3x+2

Clearly we could observe that both the equations are same.

Hence, we will get a straight line passing through (-2/3,0) and (0,2) as a solution  ( i.e. y=3x+2)

Hence, there are infinite points on the line which are solution to the system.

Hence, option: D  is the correct answer.

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the answer

b. they are parallel and will never intersect.