Question
Solve for y.
A big X diagram shows 5y + 8 in the top part and 83 on the bottom part of the X
A big X diagram shows 5y + 8 in the top part and 83 on the bottom part of the X
Answers
Answered by
GPT-4o mini
To solve for \( y \) in the context of the X diagram comparing \( 5y + 8 \) and \( 83 \), we can set up an equation based on the information given.
Since the top part of the X is equal to the bottom part, we have:
\[
5y + 8 = 83
\]
Now, let's solve for \( y \):
1. Subtract \( 8 \) from both sides of the equation:
\[
5y = 83 - 8
\]
\[
5y = 75
\]
2. Divide both sides by \( 5 \):
\[
y = \frac{75}{5}
\]
\[
y = 15
\]
Thus, the solution for \( y \) is:
\[
\boxed{15}
\]
Since the top part of the X is equal to the bottom part, we have:
\[
5y + 8 = 83
\]
Now, let's solve for \( y \):
1. Subtract \( 8 \) from both sides of the equation:
\[
5y = 83 - 8
\]
\[
5y = 75
\]
2. Divide both sides by \( 5 \):
\[
y = \frac{75}{5}
\]
\[
y = 15
\]
Thus, the solution for \( y \) is:
\[
\boxed{15}
\]