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For the graph of the equation \(2x+y=14\), what is the value of \(y\) when \(x=3\)?

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Answer and explanation

Correct answer: 8

Substituting \(x=3\) gives \(2(3)+y=14\), so \(6+y=14\) and therefore \(y=8\). Option A results from not completing the subtraction correctly after finding \(2x=6\). For graphing, the corresponding ordered pair is \((3,8)\).

Tags

substitutiongraph plottinglinear equations

Frequently asked questions

What is the correct answer to this question?

8

Why is this the correct answer?

Substituting \(x=3\) gives \(2(3)+y=14\), so \(6+y=14\) and therefore \(y=8\). Option A results from not completing the subtraction correctly after finding \(2x=6\). For graphing, the corresponding ordered pair is \((3,8)\).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..

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