In the equations (x+2y=14) and (x=4), what is (y)?
Answer and explanation
Correct answer: \(y=5\)
Given \(x=4\), substitute it into \(x+2y=14\): \(4+2y=14\). Thus, \(2y=10\), so \(y=5\). If \(y=4\), the left-hand side becomes \(4+2(4)=12\), not 14. Exam tip: When the value of one variable is given directly, substitute it into the other equation to find the remaining variable.
Frequently asked questions
What is the correct answer to this question?
\(y=5\)
Why is this the correct answer?
Given \(x=4\), substitute it into \(x+2y=14\): \(4+2y=14\). Thus, \(2y=10\), so \(y=5\). If \(y=4\), the left-hand side becomes \(4+2(4)=12\), not 14. Exam tip: When the value of one variable is given directly, substitute it into the other equation to find the remaining 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..
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