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The line represented by the equation 3x+ay=8 passes through the
point (2, 2) , then find the value of a.?
point (2, 2) , then find the value of a.?
Most Upvoted Answer
The line represented by the equation 3x+ay=8 passes through the point ...
To find the value of \( a \) in the equation \( 3x + ay = 8 \) that passes through the point \( (2, 2) \), we can follow these steps:
Step 1: Substitute the point into the equation
- We know the line passes through the point \( (2, 2) \).
- Substitute \( x = 2 \) and \( y = 2 \) into the equation:
\[
3(2) + a(2) = 8
\]
Step 2: Simplify the equation
- Calculate \( 3(2) \):
\[
6 + 2a = 8
\]
Step 3: Solve for \( a \)
- Rearrange the equation to isolate \( a \):
\[
2a = 8 - 6
\]
- Simplify the right side:
\[
2a = 2
\]
- Divide both sides by \( 2 \):
\[
a = 1
\]
Conclusion
- The value of \( a \) that allows the line \( 3x + ay = 8 \) to pass through the point \( (2, 2) \) is:
\[
\boxed{1}
\]
This solution demonstrates a straightforward application of substitution and algebraic manipulation to find the unknown variable in a linear equation.
Step 1: Substitute the point into the equation
- We know the line passes through the point \( (2, 2) \).
- Substitute \( x = 2 \) and \( y = 2 \) into the equation:
\[
3(2) + a(2) = 8
\]
Step 2: Simplify the equation
- Calculate \( 3(2) \):
\[
6 + 2a = 8
\]
Step 3: Solve for \( a \)
- Rearrange the equation to isolate \( a \):
\[
2a = 8 - 6
\]
- Simplify the right side:
\[
2a = 2
\]
- Divide both sides by \( 2 \):
\[
a = 1
\]
Conclusion
- The value of \( a \) that allows the line \( 3x + ay = 8 \) to pass through the point \( (2, 2) \) is:
\[
\boxed{1}
\]
This solution demonstrates a straightforward application of substitution and algebraic manipulation to find the unknown variable in a linear equation.
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The line represented by the equation 3x+ay=8 passes through the point (2, 2) , then find the value of a.?
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The line represented by the equation 3x+ay=8 passes through the point (2, 2) , then find the value of a.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The line represented by the equation 3x+ay=8 passes through the point (2, 2) , then find the value of a.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The line represented by the equation 3x+ay=8 passes through the point (2, 2) , then find the value of a.?.
The line represented by the equation 3x+ay=8 passes through the point (2, 2) , then find the value of a.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The line represented by the equation 3x+ay=8 passes through the point (2, 2) , then find the value of a.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The line represented by the equation 3x+ay=8 passes through the point (2, 2) , then find the value of a.?.
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