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Pair of Linear Equations in Two variables — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsPair of Linear Equations in Two variables1 Mark
MCQ
Choose the correct answer from the given four options:
A pair of linear equations which has a unique solution x = 2, y = -3 is:
  • A
    x + y = -1, 2x - 3y = -5.
  • ✓
    2x + 5y = -11, 4x + 10y = -22.
  • C
    2x - y = 1, 3x + 2y = 0.
  • D
    x - 4y -14 = 0, 5x - y - 13 = 0.
✓

Answer

Correct option: B.
2x + 5y = -11, 4x + 10y = -22.
If x = 2, y = -3 is a unique solution of any pair of equation, then these values must satisfy that pair of equations.From option (b), LHS = 2x + 5y = 2(2) + 5(-3) = 4 -15 = -11 = RHS
and LHS = 4x + 10y = 4(2) + 10(-3) = 8 - 30 = -22 = RHS​​​.

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