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The simultaneous equations 7x-3y=31, 9x-5y=41 have solutions given by
- a)(-4, -1)
- b)(-1, 4)
- c)(4, -1)
- d)(3, 7)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The simultaneous equations 7x-3y=31, 9x-5y=41 have solutions given bya...
Solution:
Given equations are:
7x - 3y = 31 ……(1)
9x - 5y = 41 ……(2)
To find the solutions of the given equations, we can use the elimination method.
Elimination Method:
In the elimination method, we eliminate one variable by adding or subtracting the two equations so that we get an equation with only one variable.
We can eliminate y by multiplying equation (1) by 5 and equation (2) by 3 and then subtracting them.
Multiplying equation (1) by 5, we get:
35x - 15y = 155 ……(3)
Multiplying equation (2) by 3, we get:
27x - 15y = 123 ……(4)
Subtracting equation (4) from equation (3), we get:
8x = 32
x = 4
Substituting x = 4 in equation (1), we get:
7(4) - 3y = 31
28 - 3y = 31
-3y = 31 - 28
-3y = 3
y = -1
Therefore, the solution of the given system of equations is (4, -1).
Hence, option (C) is the correct answer.
Given equations are:
7x - 3y = 31 ……(1)
9x - 5y = 41 ……(2)
To find the solutions of the given equations, we can use the elimination method.
Elimination Method:
In the elimination method, we eliminate one variable by adding or subtracting the two equations so that we get an equation with only one variable.
We can eliminate y by multiplying equation (1) by 5 and equation (2) by 3 and then subtracting them.
Multiplying equation (1) by 5, we get:
35x - 15y = 155 ……(3)
Multiplying equation (2) by 3, we get:
27x - 15y = 123 ……(4)
Subtracting equation (4) from equation (3), we get:
8x = 32
x = 4
Substituting x = 4 in equation (1), we get:
7(4) - 3y = 31
28 - 3y = 31
-3y = 31 - 28
-3y = 3
y = -1
Therefore, the solution of the given system of equations is (4, -1).
Hence, option (C) is the correct answer.
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The simultaneous equations 7x-3y=31, 9x-5y=41 have solutions given bya)(-4, -1)b)(-1, 4)c)(4, -1)d)(3, 7)Correct answer is option 'C'. Can you explain this answer?
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