In (x-y=2) and (x=6), what is the value of (y)?
Answer and explanation
Correct answer: \(y=4\)
From the second equation, \(x=6\). Substituting it into \(x-y=2\) gives \(6-y=2\). Thus, \(-y=-4\), so \(y=4\). The value \(y=8\) can result from handling the negative sign incorrectly. Exam tip: after substitution, perform the same operation on both sides while isolating the variable.
Frequently asked questions
What is the correct answer to this question?
\(y=4\)
Why is this the correct answer?
From the second equation, \(x=6\). Substituting it into \(x-y=2\) gives \(6-y=2\). Thus, \(-y=-4\), so \(y=4\). The value \(y=8\) can result from handling the negative sign incorrectly. Exam tip: after substitution, perform the same operation on both sides while isolating the variable.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
