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Question
A pair of linear equations which has a unique solution x = 2, y = –3 is ______.
Options
x + y = –1, 2x – 3y = –5
2x + 5y = –11, 4x + 10y = –22
2x – y = 1, 3x + 2y = 0
x – 4y –14 = 0, 5x – y – 13 = 0
Solution
A pair of linear equations which has a unique solution x = 2, y = –3 is 2x + 5y = –11, 4x + 10y = –22.
Explanation:
L.H.S. = 2x + 5y
= 2(2) + 5(–3)
= 4 – 15
= –11
= R.H.S.
and L.H.S. = 4x + 10y
= 4(2) + 10(–3)
= 8 – 30
= –22
= R.H.S.
Since x = 2, y = –3 satisfy the equation.
∴ x = 2, y = –3 is a unique solution of these equations.
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