Question

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

Answer 1

the answer to this question is infinite solutions

Answer 2

Option: D is the correct answer.

D) Infinite solutions.

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.