Reasoning If the ordered pair
To explain the given situation
Explanation of Solution
To understand the situation an example is assumed.
Let the system of equation are,
Now, adding equation ( ii ) and equation ( i ),
Substituting the value of
So, from the above solution the obtained ordered pair is (3,-2).
Since, the ordered pair is obtained by solving both the equation, hence (3,-2) should satisfy both the equations simultaneously because it is the unique solution to both the equation.
Let’s verify the above statement by putting (3,-2) in both the equations:
For Equation ( i ),
For Equation ( ii ),
Hence the above statement is verified.
Conclusion:
Hence, if an ordered pair satisfies one equation of the system of equations, then it will also satisfy the other one because the ordered pair is obtained by solving both the equations which makes it unique or rather common to both of them.
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