Checking obtained solution in both equations
Checking means substituting the obtained values of x and y into both equations to confirm that the pair is correct.
Practice This ConceptMain explanation
Teacher explanation
A solution is only accepted after verification in both equations. This step prevents careless arithmetic errors and sign mistakes from going unnoticed. In board exams, checking is especially useful after elimination or substitution because one small mistake can spoil the entire answer.
Example
If x = 2 and y = 3 are obtained, substitute them into both equations and confirm that each equation becomes true.
Simple analogy
Solved is not finished until checked.
Common confusion
Students often check the answer in only one equation and assume the pair is correct.
Exam tip
A quick verification can save marks when a sign error slipped into the solution process.
Answer writing and exam use
1-mark use
Write the exact meaning of checking obtained solution in both equations in one clean line.
2-mark use
Define checking obtained solution in both equations and add one example or condition.
3-mark use
Explain checking obtained solution in both equations, show the method or example, and mention the common mistake.
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