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

Example 9

A complete, independently verified solution for NCERT Example 9.

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Mathematics · Chapter 3 · NCERT Examples

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NCERT Example

Example 9

elimination method · inconsistent equations

Use elimination to find all solutions of 2x + 3y = 8 and 4x + 6y = 7.

Solution

2(2x+3y=8)⇒4x+6y=162(2x+3y=8)\Rightarrow4x+6y=16

Subtracting the second original equation gives 0 = 9, which is impossible.

Final answer

The pair has no solution.

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