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Linear Equations in Two Variables — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSLinear Equations in Two Variables1 Mark
Question
Each of the points (-2, 2), (0, 0), (2, 2) satisfies the linear equation:
✓

Answer

  1. x + y = 0
    Solution:
    Since given that each of the three points is a solution of the linear equation, all three points have to satisfy the linear equation.
    We need to check for each of the four given equations.
    Substituting x = -2 and y = 2 in option (b),
    We get:
    LHS
    = x + y
    = -2 + 2
    0 = RHS
    $\therefore\ $x = -2 and y = 2
    Satisfy the given linear equation.
    Substituting x = 0 and y = 0 in option (b),
    We get:
    LHS
    = x + y
    = 0 + 0
    0 = RHS
    $\therefore\ $x = 0 and y = 0
    Satisfy the given linear equation.
    Substituting x = -2 and y = 2 in option (b),
    We get:
    LHS
    = x + y
    = 2 - 2
    0 = RHS
    $\therefore\ $x = 2 and y = -2
    Satisfy the given linear equation.
    So, clearly all the three points satisfy the equation
    x + y = 0.

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