Question

2x+2y=18

Answer 1

The equation you provided, \(2x + 2y = 18\), can be simplified. Here are a few ways to interpret or manipulate the equation:

1. **Simplifying the Equation**:
You can divide the entire equation by 2 to make it simpler:

\[
x + y = 9
\]

2. **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 \(x\):

\[
x = 9 - y
\]

3. **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.

4. **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!