Question

Which among the following is the solution of $3x+4y=6?$

• A. (-2, 3)
• B. (3, 2)
• C. (-4, 5)
• D. (4, 3)

Answer 1

The correct option is A

(-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.

$LHS=3(-2)+4\left(3\right)$

$LHS=-6+12=6$

$\Rightarrow LHS=RHS$

$\therefore$ (-2,3) is the solution of the equation.

We will check other options,
Hence,
Substitute (3, 2) in the equation.

$LHS=3\left(3\right)+4\left(2\right)$

$LHS=9+8=17$

$\Rightarrow LHS\ne RHS$

$\therefore$ (3, 2) is not the solution of the given equation.
Now, Substitute (-4, 5) in the equation.

$LHS=3(-4)+4\left(5\right)$

$LHS=-12+20=8$

$\Rightarrow LHS\ne RHS$

$\therefore$ (-4, 5) is not the solution of the given equation.
Now, Substitute (4, 3) in the equation.

$LHS=3\left(4\right)+4\left(3\right)$

$LHS=12+12=24$

$\Rightarrow LHS\ne RHS$

$\therefore$ (4, 3) is not the solution of the given equation.

$\therefore$ We can say that only (-2, 3) is the solution of the equation.