Using substitution in (3x+y=10), if (x=2), what is (y)?
Answer and explanation
Correct answer: \(y=4\)
Given \(3x+y=10\) and \(x=2\), substitute 2 for \(x\): \(3(2)+y=10\), so \(6+y=10\). Subtracting 6 from both sides gives \(y=4\). If \(y=3\), the left-hand side becomes 9, so it is not correct. Exam tip: after substitution, simplify the equation and isolate the unknown term.
Frequently asked questions
What is the correct answer to this question?
\(y=4\)
Why is this the correct answer?
Given \(3x+y=10\) and \(x=2\), substitute 2 for \(x\): \(3(2)+y=10\), so \(6+y=10\). Subtracting 6 from both sides gives \(y=4\). If \(y=3\), the left-hand side becomes 9, so it is not correct. Exam tip: after substitution, simplify the equation and isolate the unknown term.
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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