Mathematics · Pair of Linear Equations in Two Variables · NCERT Examples
Example 6
A complete, independently verified solution for NCERT Example 6.
Mathematics · Chapter 3 · NCERT Examples
Verified NCERT questions and solutionsSolutions are checked independently and follow the supplied NCERT chapter edition.
NCERT Example
Example 6
Two pencils and three erasers cost ₹9; four pencils and six erasers cost ₹18. Find each price.
Solution
Let the prices be x and y rupees.
Substitution in the second equation gives 18 = 18. The second equation is twice the first, so no unique pair of prices is determined.
Final answer
There are infinitely many solutions; the individual prices cannot be found uniquely.