If (3x+2y=17) and (x=3), what is the value of (y)?
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Answer and explanation
Correct answer: \(y=4\)
Given \(x=3\), substitute it into \(3x+2y=17\): \(3(3)+2y=17\), or \(9+2y=17\). Thus, \(2y=8\) and \(y=4\). If \(y=2\), the left-hand side becomes \(13\), not \(17\). Exam tip: substitute the given value first, then isolate the remaining variable step by step.
Frequently asked questions
What is the correct answer to this question?
\(y=4\)
Why is this the correct answer?
Given \(x=3\), substitute it into \(3x+2y=17\): \(3(3)+2y=17\), or \(9+2y=17\). Thus, \(2y=8\) and \(y=4\). If \(y=2\), the left-hand side becomes \(13\), not \(17\). Exam tip: substitute the given value first, then isolate the remaining variable step by step.
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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