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Mathematics · Pair of Linear Equations in Two Variables · NCERT Examples

Example 7

A complete, independently verified solution for NCERT Example 7.

Mathematics · Chapter 3 · NCERT Examples

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Verified NCERT questions and solutionsSolutions are checked independently and follow the supplied NCERT chapter edition.

NCERT Example

Example 7

substitution method · parallel lines

Rails are represented by x + 2y − 4 = 0 and 2x + 4y − 12 = 0. Will they cross?

Solution

x=4−2yx=4-2y
2(4−2y)+4y−12=0⇒−4=02(4-2y)+4y-12=0\Rightarrow-4=0

The contradiction proves that the parallel lines have no common point.

Final answer

The rails will not cross.