Class 10 Exam > Class 10 Questions > The pair of linear equations 8x – 5y = ...
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The pair of linear equations 8x – 5y = 7 and 5x – 8y = -7 have :
- a)No solution
- b)Many solutions
- c)One solution
- d)Two solutions
Correct answer is option 'C'. Can you explain this answer?
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The pair of linear equations 8x – 5y = 7 and 5x – 8y = -7 ...
So, they are intersecting lines. And intersecting lines meet at only one point. So only 1 solution is available.Most Upvoted Answer
The pair of linear equations 8x – 5y = 7 and 5x – 8y = -7 ...
Solution:
The given pair of equations is:
8x + 5y = 7 ...(i)
5x + 8y = -7 ...(ii)
To solve the given pair of equations, we can use the method of elimination:
Multiplying equation (i) by 8 and equation (ii) by 5, we get:
64x + 40y = 56 ...(iii)
25x + 40y = -35 ...(iv)
Subtracting equation (iv) from equation (iii), we get:
39x = 91
x = 91/39
Substituting the value of x in equation (i), we get:
8(91/39) + 5y = 7
Multiplying both sides by 39, we get:
8(91) + 195y = 273
728 + 195y = 273
195y = -455
y = -455/195
Simplifying, we get:
y = -91/39
Therefore, the solution of the given pair of equations is:
x = 91/39 and y = -91/39
Hence, there is only one solution for the given pair of linear equations.
The given pair of equations is:
8x + 5y = 7 ...(i)
5x + 8y = -7 ...(ii)
To solve the given pair of equations, we can use the method of elimination:
Multiplying equation (i) by 8 and equation (ii) by 5, we get:
64x + 40y = 56 ...(iii)
25x + 40y = -35 ...(iv)
Subtracting equation (iv) from equation (iii), we get:
39x = 91
x = 91/39
Substituting the value of x in equation (i), we get:
8(91/39) + 5y = 7
Multiplying both sides by 39, we get:
8(91) + 195y = 273
728 + 195y = 273
195y = -455
y = -455/195
Simplifying, we get:
y = -91/39
Therefore, the solution of the given pair of equations is:
x = 91/39 and y = -91/39
Hence, there is only one solution for the given pair of linear equations.
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The pair of linear equations 8x – 5y = 7 and 5x – 8y = -7 ...
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The pair of linear equations 8x – 5y = 7 and 5x – 8y = -7 have :a)No solutionb)Many solutionsc)One solutiond)Two solutionsCorrect answer is option 'C'. Can you explain this answer?
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