Use a system of equations to solve 3x + 6 = 6 by graphing on a separate sheet of paper. ( ), ( )

To solve the equation (3x + 6 = 6) using a system of equations by graphing, we can convert it into a more manageable form.

1. First, simplify the equation:

[

3x + 6 = 6 quad Rightarrow quad 3x = 6 – 6 quad Rightarrow quad 3x = 0 quad Rightarrow quad x = 0

]

2. Now, let’s express this as a system of equations:

– The first equation is your original equation rewritten: (y = 3x + 6).

– The second equation can be (y = 6) (to represent the horizontal line where (y) equals 6).

3. Next, graph both equations on the same coordinate plane.

– For (y = 3x + 6), plot points by substituting for (x):

– When (x = 0), (y = 6) (point: (0, 6))

– When (x = -2), (y = 0) (point: (-2, 0))

– This line will slope upwards.

– For (y = 6), draw a horizontal line across the y-axis where (y) equals 6.

4. The intersection point of these two lines occurs at ((