The equation you provided, \(2x + 2y = 18\), can be simplified. Here are a few ways to interpret or manipulate the equation:
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Simplifying the Equation: You can divide the entire equation by 2 to make it simpler:
\[ x + y = 9 \]
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Solving for One Variable: You can solve for one variable in terms of the other. For example, solving for \(y\):
\[ y = 9 - x \]
Or solving for \(x\):
\[ x = 9 - y \]
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Graphing the Line: This equation represents a straight line in a two-dimensional plane. You can plot it by finding the intercepts:
- x-intercept (where \(y = 0\)): \[ 2x + 2(0) = 18 \implies 2x = 18 \implies x = 9 \implies (9, 0) \]
- y-intercept (where \(x = 0\)): \[ 2(0) + 2y = 18 \implies 2y = 18 \implies y = 9 \implies (0, 9) \]
You can plot the points (9, 0) and (0, 9) on a graph and draw a line through them.
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Finding Solutions: Any pair of \( (x, y) \) that satisfies the equation will be a solution. For example:
- If \( x = 0 \), then \( y = 9 \).
- If \( x = 1 \), then \( y = 8 \).
- If \( x = 5 \), then \( y = 4 \).
If you have a specific question or need further manipulation of this equation, feel free to ask!