From (x+y=10) and (y=6), what is the value of (x)?
Answer and explanation
Correct answer: \(x=4\)
Given \(y=6\), substitute it into \(x+y=10\) to get \(x+6=10\). Subtracting 6 from both sides gives \(x=4\). Therefore, option C is correct. For example, if \(x=5\), the sum would be 11, not 10. Exam tip: after substitution, perform the same operation on both sides to isolate the unknown.
Frequently asked questions
What is the correct answer to this question?
\(x=4\)
Why is this the correct answer?
Given \(y=6\), substitute it into \(x+y=10\) to get \(x+6=10\). Subtracting 6 from both sides gives \(x=4\). Therefore, option C is correct. For example, if \(x=5\), the sum would be 11, not 10. Exam tip: after substitution, perform the same operation on both sides to isolate the unknown.
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..
