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Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0?
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Graphically find whether the following pair of equation has no solutio...
Introduction:
In this question, we need to find whether the given pair of equations has no solution, unique solution or infinitely many solutions. We can do this graphically by plotting the equations on a graph and observing their intersection point.
Method:
To graphically solve the given pair of equations, we need to follow the below steps:
1. Convert the equations into slope-intercept form (y = mx + b).
2. Plot the line for each equation on the graph.
3. Observe the intersection point of the two lines.
Equation 1:
5x - 8y + 1 = 0
=> 8y = 5x + 1
=> y = (5/8)x + 1/8
Equation 2:
3x - (24/5)y + (3/5) = 0
=> (24/5)y = 3x + (3/5)
=> y = (5/24)(3x + (3/5))
=> y = (5/8)x + (1/40)
Graph:
Let's plot the above equations on a graph.
Conclusion:
From the graph, we can see that the two lines intersect at a single point, which means that the given pair of equations has a unique solution. Therefore, the answer is "unique solution".
In this question, we need to find whether the given pair of equations has no solution, unique solution or infinitely many solutions. We can do this graphically by plotting the equations on a graph and observing their intersection point.
Method:
To graphically solve the given pair of equations, we need to follow the below steps:
1. Convert the equations into slope-intercept form (y = mx + b).
2. Plot the line for each equation on the graph.
3. Observe the intersection point of the two lines.
Equation 1:
5x - 8y + 1 = 0
=> 8y = 5x + 1
=> y = (5/8)x + 1/8
Equation 2:
3x - (24/5)y + (3/5) = 0
=> (24/5)y = 3x + (3/5)
=> y = (5/24)(3x + (3/5))
=> y = (5/8)x + (1/40)
Graph:
Let's plot the above equations on a graph.
Conclusion:
From the graph, we can see that the two lines intersect at a single point, which means that the given pair of equations has a unique solution. Therefore, the answer is "unique solution".
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Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0?
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Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0?.
Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Graphically find whether the following pair of equation has no solution, unique solution, or infinitely many solution 5x-8y 1 =0 3x -24/5y 3/5=0?.
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