Mathematics
A pair of linear equations which has a unique solution x = 2, y = -3 is
x + y = -1
2x - 3y = -52x + 5y = -11
4x + 10y = -222x - y = 1
3x + 2y = 0x - 4y - 14 = 0
5x - y - 13 = 0
Linear Equations
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Answer
Substituting x = 2, y = -3 in x - 4y - 14 = 0 we get,
= 2 - 4(-3) - 14
= 2 + 12 - 14
= 0.
Substituting x = 2, y = -3 in 5x - y - 13 = 0 we get,
= 5(2) - (-3) - 13
= 10 + 3 - 13
= 13 - 13
= 0.
Hence, Option 4 is the correct option.
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Related Questions
If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are respectively,
3 and 5
5 and 3
3 and 1
-1 and -3
The solution of the system of equations is
x = 3, y = -1
x = -3, y = 1
Consider the following two statements.
Statement 1: A solution to linear equation 5x - 2y = 1 is x = 3, y = 7.
Statement 2: The linear equation 5x - 2y = 1 has a unique solution.
Which of the following is valid?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and Statement 2 is false.
Statement 1 is false, and Statement 2 is true.
Assertion (A): A solution of x - y = 1, 2x + y = is x = , y = .
Reason (R): One of the methods of solving a pair of linear equations is elimination method.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).