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

Example 2

A complete, independently verified solution for NCERT Example 2.

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 2

graphical method · coincident lines

Graphically decide whether 5x − 8y + 1 = 0 and 3x − (24/5)y + 3/5 = 0 have no, one or infinitely many solutions.

Example 2The two equations form coincident lines.Equation 1Equation 2
The two equations form coincident lines.

Solution

53(3x−245y+35)=5x−8y+1=0\frac53\left(3x-\frac{24}{5}y+\frac35\right)=5x-8y+1=0

The equations represent the same line; every point on it satisfies both.

Final answer

The pair has infinitely many solutions.