Question

Question 2(Multiple Choice Worth 2 points)

(06.02)
Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system

Answer 1

The solution to the system of equations is infinite solutions.

Step-by-step explanation:

The system of equations are
`y=3 x+2` and
`3 y=9 x+6`

To determine the solution of the equation using substitution method.

Let us substitute
`y=3 x+2` in the equation
`3 y=9 x+6` , we get,

`3(3x+2)=9x+6`

Simplifying, we get,

`9x+6=9x+6`

Since, both sides of the equation are same, the system of equations have infinitely many solutions.

The image of solution to the system of equations is attached in the graph below: