Question
A number, y, is equal to 29 minus a number, x. The number, y, is equal to x minus 5. What is the value of y?
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Answers
GPT-4o mini
We have two equations based on the information given:
1. \( y = 29 - x \)
2. \( y = x - 5 \)
Since both expressions are equal to \( y \), we can set them equal to each other:
\[ 29 - x = x - 5 \]
Now, we can solve for \( x \):
1. Add \( x \) to both sides:
\[ 29 = 2x - 5 \]
2. Add 5 to both sides:
\[ 34 = 2x \]
3. Divide both sides by 2:
\[ x = 17 \]
Now that we have \( x \), we can substitute it back into one of the equations to find \( y \). Using the second equation:
\[ y = x - 5 \]
\[ y = 17 - 5 \]
\[ y = 12 \]
The value of \( y \) is \( \boxed{12} \).
1. \( y = 29 - x \)
2. \( y = x - 5 \)
Since both expressions are equal to \( y \), we can set them equal to each other:
\[ 29 - x = x - 5 \]
Now, we can solve for \( x \):
1. Add \( x \) to both sides:
\[ 29 = 2x - 5 \]
2. Add 5 to both sides:
\[ 34 = 2x \]
3. Divide both sides by 2:
\[ x = 17 \]
Now that we have \( x \), we can substitute it back into one of the equations to find \( y \). Using the second equation:
\[ y = x - 5 \]
\[ y = 17 - 5 \]
\[ y = 12 \]
The value of \( y \) is \( \boxed{12} \).