Use a system of equations to solve 3x + 6 = 6 by graphing on a separate sheet of paper. ( ) , ( )
Use a system of equations to solve 3x + 6 = 6 by graphing on a separate sheet of paper.
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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) by graphing, we can first rearrange it into a system of equations.
1. Rearranging the equation:
[
3x + 6 – 6 = 0 Rightarrow 3x = 0 Rightarrow x = 0
]
This means that we can express it as a system:
[
y = 3x + 6
]
[
y = 6
]
2. Now, we graph both equations:
– For (y = 3x + 6), you can plot points by choosing values for (x):
– If (x = 0), then (y = 6) (point (0, 6)).
– If (x = -2), then (y = 0) (point (-2, 0)).
– For (y = 6), this is a horizontal line through (y = 6).
3. The solution is where these two lines intersect, which in this case is at the point (0, 6). Since the second equation represents the constant value of (y), it simply confirms that when (x = 0), (y) indeed equals 6.
Final answer: The solution to the equation is the point (0, 6