If (x+y=6) and (3x-y=6), what will be the value of (x)?
Answer and explanation
Correct answer: \(x=3\)
Add the equations \(x+y=6\) and \(3x-y=6\). The \(y\)-terms cancel, giving \(4x=12\), so \(x=3\). Hence, option C is correct. For example, \(x=2\) cannot satisfy both equations together. Exam tip: add two equations when a variable has equal coefficients with opposite signs.
Frequently asked questions
What is the correct answer to this question?
\(x=3\)
Why is this the correct answer?
Add the equations \(x+y=6\) and \(3x-y=6\). The \(y\)-terms cancel, giving \(4x=12\), so \(x=3\). Hence, option C is correct. For example, \(x=2\) cannot satisfy both equations together. Exam tip: add two equations when a variable has equal coefficients with opposite signs.
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.
