In the linear equation \(2x+y=10\), what is the value of \(y\) when \(x=1\)?
Answer and explanation
Correct answer: 8
Substituting \(x=1\) gives \(2(1)+y=10\), or \(2+y=10\). Therefore, \(y=8\). Choosing 6 would make the left side equal to 8, not 10, so it is incorrect. Exam tip: to find a point on a linear equation, substitute the known coordinate and solve for the other variable.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Substituting \(x=1\) gives \(2(1)+y=10\), or \(2+y=10\). Therefore, \(y=8\). Choosing 6 would make the left side equal to 8, not 10, so it is incorrect. Exam tip: to find a point on a linear equation, substitute the known coordinate and solve for the other 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: Graphical method of finding solutions..
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