Question
Which equation is equivalent to w= x+y-z
Answers
Answered by
GPT-4o mini
To find equations equivalent to \( w = x + y - z \), you can manipulate the equation algebraically. Here are several forms that are equivalent:
1. Rearranging the terms:
- \( w + z = x + y \)
- \( x + y = w + z \)
2. Solving for one variable:
- \( x = w - y + z \)
- \( y = w - x + z \)
- \( z = x + y - w \)
3. Adding constants or multiplying by non-zero constants:
- \( 2w = 2(x + y - z) \)
- \( 3w - 3z = 3x + 3y \)
Each of these forms represents the same relationship as the original equation \( w = x + y - z \).
1. Rearranging the terms:
- \( w + z = x + y \)
- \( x + y = w + z \)
2. Solving for one variable:
- \( x = w - y + z \)
- \( y = w - x + z \)
- \( z = x + y - w \)
3. Adding constants or multiplying by non-zero constants:
- \( 2w = 2(x + y - z) \)
- \( 3w - 3z = 3x + 3y \)
Each of these forms represents the same relationship as the original equation \( w = x + y - z \).