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Question

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


  1. (3, 2) 

  2. (-2, 3)

  3. (-4, 5) 

  4. (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

LHSRHS

 (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

LHSRHS

 (-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

LHSRHS

 (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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