If (2x+y=8) and (x=2), what is the value of (y)?
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Answer and explanation
Correct answer: \(y=4\)
Substitute \(x=2\) into \(2x+y=8\): \(2(2)+y=8\). Thus, \(4+y=8\), so \(y=4\). If \(y=2\), the left-hand side becomes \(6\), not \(8\). Exam tip: verify the obtained value in the original equation.
Frequently asked questions
What is the correct answer to this question?
\(y=4\)
Why is this the correct answer?
Substitute \(x=2\) into \(2x+y=8\): \(2(2)+y=8\). Thus, \(4+y=8\), so \(y=4\). If \(y=2\), the left-hand side becomes \(6\), not \(8\). Exam tip: verify the obtained value in 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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