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?

Answer 1

The provided system of equations have infinitely many solutions.

Explanation:

Consider the provided system of equations:

y = 3x + 2 and 3y = 9x + 6

Now use the graphing technology in order to draw the graph of the equations.

The graph of the provided system of equations is shown in figure 1:

As it can be observed that the second equation is lying on top of the first one.

Therefore, they have infinitely many solutions.

Answer 2

Infinitely many solution

Explanation:

The given equations are:

y = 3x + 2

3y = 9x + 6

We graph the two equations as shown in the attachment.

We can see that the second equation is lying on top of the first one.

This means that, they have infinitely many solutions.