In elimination method, what is (y) after subtracting (2x+y=13) from (2x+5y=29)?
Answer and explanation
Correct answer: \(y=4\)
Subtracting the second equation from the first gives \((2x+5y)-(2x+y)=29-13\). Thus, \(4y=16\), so \(y=4\). The close distractor \(y=3\) would require \(4y=12\), which is not obtained here. Exam tip: while subtracting equations, carefully keep track of the signs of all terms.
Frequently asked questions
What is the correct answer to this question?
\(y=4\)
Why is this the correct answer?
Subtracting the second equation from the first gives \((2x+5y)-(2x+y)=29-13\). Thus, \(4y=16\), so \(y=4\). The close distractor \(y=3\) would require \(4y=12\), which is not obtained here. Exam tip: while subtracting equations, carefully keep track of the signs of all terms.
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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