If (2x-y=8) and (x=5), what is the value of (y)?
Answer and explanation
Correct answer: \(y=2\)
Given \(x=5\), substitute it into \(2x-y=8\): \(2(5)-y=8\), so \(10-y=8\). Subtracting 10 from both sides gives \(-y=-2\), hence \(y=2\). For example, if \(y=3\), the left side becomes \(10-3=7\), not 8. Exam tip: verify the obtained value by substituting it back into the original equation.
Frequently asked questions
What is the correct answer to this question?
\(y=2\)
Why is this the correct answer?
Given \(x=5\), substitute it into \(2x-y=8\): \(2(5)-y=8\), so \(10-y=8\). Subtracting 10 from both sides gives \(-y=-2\), hence \(y=2\). For example, if \(y=3\), the left side becomes \(10-3=7\), not 8. Exam tip: verify the obtained value by substituting it back into the original equation.
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..
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