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Find the value of (y) from (x+4y=18) and (x=2).

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Answer and explanation

Correct answer: \(y=4\)

Given \(x=2\), substitute it into \(x+4y=18\): \(2+4y=18\). Thus, \(4y=16\), so \(y=4\). If \(y=3\), the left-hand side becomes \(2+12=14\), not 18. Exam tip: after substitution, transpose the constant term first and then divide by the coefficient of \(y\).

Related tags

Linear EquationsSubstitution MethodValue Of YAlgebraClass 10

Frequently asked questions

What is the correct answer to this question?

\(y=4\)

Why is this the correct answer?

Given \(x=2\), substitute it into \(x+4y=18\): \(2+4y=18\). Thus, \(4y=16\), so \(y=4\). If \(y=3\), the left-hand side becomes \(2+12=14\), not 18. Exam tip: after substitution, transpose the constant term first and then divide by the coefficient of \(y\).

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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