Question

# Which among the following is the solution of 3x+4y=6?(3, 2)  (-2, 3) (-4, 5)  (4, 3)

Solution

## The correct option is B (-2, 3) If a given point is the solution of the linear equation in two variable, then it satisfies the equation. We have given equation as: 3x+4y=6 Hence,  Substitute (-2,3) in the equation. LHS=3(−2)+4(3) LHS=−6+12=6 ⇒LHS=RHS ∴ (-2,3) is the solution of the equation. We will check other options, Hence,  Substitute (3, 2) in the equation. LHS=3(3)+4(2) LHS=9+8=17 ⇒LHS≠RHS ∴ (3, 2) is not the solution of the given equation. Now, Substitute (-4, 5) in the equation. LHS=3(−4)+4(5) LHS=−12+20=8 ⇒LHS≠RHS ∴ (-4, 5) is not the solution of the given equation. Now, Substitute (4, 3) in the equation. LHS=3(4)+4(3) LHS=12+12=24 ⇒LHS≠RHS ∴ (4, 3) is not the solution of the given equation. ∴ We can say that only (-2, 3) is the solution of the equation.

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