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How many linear equations are satisfied by x = 2 and y = - 3?
- a)Infinitely many
- b)Only one
- c)Three
- d)Two
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
How many linear equations are satisfied by x = 2 and y = - 3?a)Infinit...
Infinitely many equations satisfy x = 2 and y = 3 as infinitely many lines pass through a single point.
Most Upvoted Answer
How many linear equations are satisfied by x = 2 and y = - 3?a)Infinit...
Explanation:
To determine how many linear equations are satisfied by x = 2 and y = -3, we need to find the number of equations that are true when these values are substituted into the equations.
Step 1: Understanding Linear Equations
A linear equation is an equation of the form Ax + By = C, where A, B, and C are constants, and x and y are variables. The equation represents a straight line on a coordinate plane.
Step 2: Substituting the values
We are given x = 2 and y = -3. To find the number of equations satisfied by these values, we substitute these values into each equation and check if the equation holds true.
Step 3: Analyzing the Equations
Let's consider an example equation: 3x - 2y = 8
Substituting x = 2 and y = -3 into the equation, we have:
3(2) - 2(-3) = 8
6 + 6 = 8
12 = 8
Since 12 is not equal to 8, the equation 3x - 2y = 8 is not satisfied by x = 2 and y = -3.
Step 4: Conclusion
We can repeat this process for other linear equations, and we will find that none of the linear equations are satisfied by x = 2 and y = -3. Therefore, there are no linear equations satisfied by these values.
The correct answer is option 'A': Infinitely many.
To determine how many linear equations are satisfied by x = 2 and y = -3, we need to find the number of equations that are true when these values are substituted into the equations.
Step 1: Understanding Linear Equations
A linear equation is an equation of the form Ax + By = C, where A, B, and C are constants, and x and y are variables. The equation represents a straight line on a coordinate plane.
Step 2: Substituting the values
We are given x = 2 and y = -3. To find the number of equations satisfied by these values, we substitute these values into each equation and check if the equation holds true.
Step 3: Analyzing the Equations
Let's consider an example equation: 3x - 2y = 8
Substituting x = 2 and y = -3 into the equation, we have:
3(2) - 2(-3) = 8
6 + 6 = 8
12 = 8
Since 12 is not equal to 8, the equation 3x - 2y = 8 is not satisfied by x = 2 and y = -3.
Step 4: Conclusion
We can repeat this process for other linear equations, and we will find that none of the linear equations are satisfied by x = 2 and y = -3. Therefore, there are no linear equations satisfied by these values.
The correct answer is option 'A': Infinitely many.
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How many linear equations are satisfied by x = 2 and y = - 3?a)Infinitely manyb)Only onec)Threed)TwoCorrect answer is option 'A'. Can you explain this answer?
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How many linear equations are satisfied by x = 2 and y = - 3?a)Infinitely manyb)Only onec)Threed)TwoCorrect answer is option 'A'. Can you explain this answer? 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 How many linear equations are satisfied by x = 2 and y = - 3?a)Infinitely manyb)Only onec)Threed)TwoCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many linear equations are satisfied by x = 2 and y = - 3?a)Infinitely manyb)Only onec)Threed)TwoCorrect answer is option 'A'. Can you explain this answer?.
How many linear equations are satisfied by x = 2 and y = - 3?a)Infinitely manyb)Only onec)Threed)TwoCorrect answer is option 'A'. Can you explain this answer? 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 How many linear equations are satisfied by x = 2 and y = - 3?a)Infinitely manyb)Only onec)Threed)TwoCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many linear equations are satisfied by x = 2 and y = - 3?a)Infinitely manyb)Only onec)Threed)TwoCorrect answer is option 'A'. Can you explain this answer?.
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