Final answer:
To solve the equation x+y=18-2x, you can add 2x to both sides to simplify. From there, you can solve for x or y by isolating the variable on one side of the equation. The solutions will be x = (18 - y) / 3 and y = 18 - 3x.
Step-by-step explanation:
To solve the equation x+y=18-2x:
- Add 2x to both sides of the equation: x + 2x + y = 18.
- Combine like terms: 3x + y = 18.
- From here, you can either solve for x or y. For example, if you want to solve for x, isolate it by subtracting y from both sides: 3x = 18 - y.
- Finally, divide both sides by 3 to solve for x: x = (18 - y) / 3.
Similarly, if you want to solve for y, isolate it by subtracting 3x from both sides: y = 18 - 3x.
Learn more about Solving linear equations