Question
Solve for \( x \). \[ \begin{array}{l}y=x-5 \\ y=7\end{array} \] Simplify your answer as much as possible. \( x=\square \)
Ask by Santiago Martin. in the United States
Jan 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 12 \)
Solution
To solve for \( x \) in the given system of equations:
\[
\begin{cases}
y = x - 5 \\
y = 7
\end{cases}
\]
1. Substitute \( y = 7 \) into the first equation:
\[
7 = x - 5
\]
2. Add 5 to both sides to isolate \( x \):
\[
x = 7 + 5
\]
\[
x = 12
\]
Therefore, the solution is:
\( x = 12 \)
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Simplify this solution Beyond the Answer
To solve for \( x \), we start with the two equations provided: 1. \( y = x - 5 \) 2. \( y = 7 \) Since both expressions equal \( y \), we can set them equal to each other: \[ x - 5 = 7 \] Now, we will solve for \( x \) by adding 5 to both sides: \[ x - 5 + 5 = 7 + 5 \] \[ x = 12 \] So, the solution is \( x = 12 \).
