Question
Question Which equation is equivalent to w=x+y−z ?(1 point) Responses z=x+y+w z equals x plus y plus w z=x+y−w z equals x plus y minus w z=(x+y)w z equals Start Fraction left parenthesis x plus y right parenthesis over w End Fraction z=w−x−y
Answers
GPT-4o mini
To find an equation equivalent to \( w = x + y - z \), let's rearrange it to solve for \( z \):
Starting with:
\[ w = x + y - z \]
We can add \( z \) to both sides:
\[ w + z = x + y \]
Next, we can isolate \( z \) by subtracting \( w \) from both sides:
\[ z = x + y - w \]
So the equation equivalent to \( w = x + y - z \) is:
\[ z = x + y - w \]
This corresponds to the response:
**z = x + y - w**.
Starting with:
\[ w = x + y - z \]
We can add \( z \) to both sides:
\[ w + z = x + y \]
Next, we can isolate \( z \) by subtracting \( w \) from both sides:
\[ z = x + y - w \]
So the equation equivalent to \( w = x + y - z \) is:
\[ z = x + y - w \]
This corresponds to the response:
**z = x + y - w**.