Find the value of (x) from (x+2y=17) and (y=6).
Answer and explanation
Correct answer: \(x=5\)
Given \(y=6\), substitute it into \(x+2y=17\): \(x+2(6)=17\), so \(x+12=17\). Hence, \(x=17-12=5\). Therefore, \(x=5\) is correct. If \(x=6\), the left-hand side becomes \(6+12=18\), not 17. Exam tip: when one variable is given, substitute its value into the other equation to find the remaining variable.
Frequently asked questions
What is the correct answer to this question?
\(x=5\)
Why is this the correct answer?
Given \(y=6\), substitute it into \(x+2y=17\): \(x+2(6)=17\), so \(x+12=17\). Hence, \(x=17-12=5\). Therefore, \(x=5\) is correct. If \(x=6\), the left-hand side becomes \(6+12=18\), not 17. Exam tip: when one variable is given, substitute its value into the other equation to find the remaining 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: Algebraic methods: Substitution method and Elimination method..
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
