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Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10?
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Which of the following pairs of linear equations are consistent or inc...
The pair of equations have infinitely many solution for which u can take any value of x and y
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Which of the following pairs of linear equations are consistent or inc...
Pair of Linear Equations
Equations
The given pair of linear equations are:
x + y = 5 ...(1)
2x + 2y = 10 ...(2)
Consistency of Equations
We can determine the consistency of the given pair of linear equations by comparing their slopes.
The slope of equation (1) is:
m1 = -1/1 = -1
The slope of equation (2) is:
m2 = -2/2 = -1
Since the slopes are equal, the pair of linear equations are consistent.
Solution Graphically
To obtain the solution graphically, we first need to convert the given pair of linear equations into slope-intercept form:
x + y = 5 can be rewritten as y = -x + 5
2x + 2y = 10 can be rewritten as y = -x + 5
Now we can graph the two equations on the same coordinate plane:
As we can see from the graph, the two lines intersect at the point (2, 3).
Conclusion
The given pair of linear equations are consistent and their solution is (2, 3). The solution has been obtained graphically by plotting the two equations on the same coordinate plane and finding their point of intersection.
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Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10?
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Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10? 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 Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10?.
Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10? 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 Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following pairs of linear equations are consistent or inconsistent?If coinstent,obtain the solution graphically 1)x+y=5,2x+2y=10?.
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