Question
25. Find the value of the following equation for \( x=1, y=1 \) as a solution. \( 3 x+a y=6 \) [2]
Ask by Hanson Barrett. in the United Arab Emirates
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of \( a \) is 3.
Solution
To find the value of \( a \) in the equation \( 3x + ay = 6 \) given that \( x = 1 \) and \( y = 1 \), follow these steps:
1. **Substitute the given values into the equation:**
\[
3(1) + a(1) = 6
\]
2. **Simplify the equation:**
\[
3 + a = 6
\]
3. **Solve for \( a \):**
\[
a = 6 - 3
\]
\[
a = 3
\]
**Answer:** The value of \( a \) is **3**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve for the value of \( a \) when \( x = 1 \) and \( y = 1 \), substitute these values into the equation: \[ 3(1) + a(1) = 6 \] This simplifies to: \[ 3 + a = 6 \] Now, isolate \( a \): \[ a = 6 - 3 \] \[ a = 3 \] Thus, the value of \( a \) is \( 3 \).
