For (x+2y=11) and (y=4), what is (x)?
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Answer and explanation
Correct answer: \(x=3\)
Substitute \(y=4\) into \(x+2y=11\): \(x+2(4)=11\). Thus, \(x+8=11\), so \(x=3\). If \(x=5\), the left-hand side becomes \(5+8=13\), not 11. Exam tip: after substitution, simplify the resulting one-variable equation carefully.
Frequently asked questions
What is the correct answer to this question?
\(x=3\)
Why is this the correct answer?
Substitute \(y=4\) into \(x+2y=11\): \(x+2(4)=11\). Thus, \(x+8=11\), so \(x=3\). If \(x=5\), the left-hand side becomes \(5+8=13\), not 11. Exam tip: after substitution, simplify the resulting one-variable equation carefully.
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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