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The pair of equations x = 2 and y = – 3 has
  • a)
    no solution
  • b)
    two solutions
  • c)
    infinitely many solutions
  • d)
    one solution
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The pair of equations x = 2 and y = – 3 hasa)no solutionb)two so...
Here a unique solution of each variable of a pair of linear equations is given, therefore, it has one solution of a system of linear quations.
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Most Upvoted Answer
The pair of equations x = 2 and y = – 3 hasa)no solutionb)two so...
Solution:

Given equations are x = 2 and y = 3.

To find the number of solutions, we need to solve both the equations simultaneously.

Substituting x = 2 in the equation y = 3, we get y = 3.

So, the solution is (2, 3).

Therefore, the given pair of equations has only one solution.

Hence, option D is the correct answer.
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Community Answer
The pair of equations x = 2 and y = – 3 hasa)no solutionb)two so...
Given: The pair of equations x=2 and y = -3

Solution:
pair of equations x =2 and  y = -3
x =2  can be written as
x  + 0.y  = 2   ... Eq1
y = -3  can be written as
0.x  + y  = -3    Eq2
0.Eq1   + Eq2
=> 0 + 0  + 0  + y  = 0 - 3
=> y = - 3
0 * Eq2 + Eq1
=> 0 + 0 + x + 0  = 0  + 2
=> x = 2
Hence x = 2 and  y = -3 is the solution
There is only one solution x = 2 and y = - 3
Correct option is  
option D)  One Solution

You can learn important definitions and formulas of Pair of Linear Equations in Two Variables by going through the doc:

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