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Linear Equations in Two Variables — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLinear Equations in Two Variables1 Mark
MCQ
The linear equation 3x - 5y = 15 has:
  • A
    Two solutions.
  • B
    A unique solution.
  • C
    No solution.
  • D
    Infinitely many solutions.
✓

Answer

  1. Infinitely many solutions.
    Solution:
    Given linear equation: 3x - 5y = 15
    Or, $\text{x}=5\text{y}+\frac{15}{3}$
    When y = 0, x = 153 = 5
    When y = 3, x = 303 = 10
    When y = - 3, x = 03 = 0
xx5100
yy03-3
Plot the points A(5, 0), B(10, 3) and C(0, -3). Join the points and extend them in both the directions.
We get infinite points that satisfy the given equation.
Hence, the linear equation has infinitely many solutions.

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