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At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k?
Most Upvoted Answer
At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equ...
Certainly! Let's find the value of k step by step.
Understanding the Problem
We need to determine the value of k such that the point (2K - 3, 2) lies on the line represented by the equation 2X + 3Y + 15 = 0.
Substituting the Point into the Equation
1. Identify the Coordinates:
The point we have is (2K - 3, 2). Here, X = 2K - 3 and Y = 2.
2. Substitute X and Y into the Line Equation:
We replace X and Y in the line equation:
2(2K - 3) + 3(2) + 15 = 0.
3. Simplifying the Equation:
- Calculate 2(2K - 3):
This gives us 4K - 6.
- Next, calculate 3(2):
This gives us 6.
- Combine everything into the equation:
4K - 6 + 6 + 15 = 0.
4. Combine Like Terms:
This simplifies to:
4K + 15 = 0.
Solving for k
1. Isolate k:
To find k, we solve the equation:
4K = -15.
2. Divide by 4:
K = -15/4.
Conclusion
The value of k that makes the point (2K - 3, 2) lie on the line is:
- K = -15/4.
This solution ensures that the given point satisfies the line equation.
Understanding the Problem
We need to determine the value of k such that the point (2K - 3, 2) lies on the line represented by the equation 2X + 3Y + 15 = 0.
Substituting the Point into the Equation
1. Identify the Coordinates:
The point we have is (2K - 3, 2). Here, X = 2K - 3 and Y = 2.
2. Substitute X and Y into the Line Equation:
We replace X and Y in the line equation:
2(2K - 3) + 3(2) + 15 = 0.
3. Simplifying the Equation:
- Calculate 2(2K - 3):
This gives us 4K - 6.
- Next, calculate 3(2):
This gives us 6.
- Combine everything into the equation:
4K - 6 + 6 + 15 = 0.
4. Combine Like Terms:
This simplifies to:
4K + 15 = 0.
Solving for k
1. Isolate k:
To find k, we solve the equation:
4K = -15.
2. Divide by 4:
K = -15/4.
Conclusion
The value of k that makes the point (2K - 3, 2) lie on the line is:
- K = -15/4.
This solution ensures that the given point satisfies the line equation.
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At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k?
Question Description
At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k?.
At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At the point bracket 2K - 3 x + 2 bracket lies on the graph of the equation 2 X + 3 Y + 15 = 0 find the value of k?.
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