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

Example 1

A complete, independently verified solution for NCERT Example 1.

Mathematics · Chapter 3 · NCERT Examples

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NCERT Example

Example 1

graphical method · unique solution

Check graphically whether x + 3y = 6 and 2x − 3y = 12 are consistent. If so, solve them graphically.

Example 1The lines intersect at (6, 0).x + 3y = 62x − 3y = 12(6, 0)
The lines intersect at (6, 0).

Solution

Use (0, 2) and (6, 0) for the first line; use (0, −4), (3, −2) and (6, 0) for the second.

The lines intersect once, so the pair is consistent.

6+3(0)=6,2(6)−3(0)=126+3(0)=6,\qquad2(6)-3(0)=12

Final answer

x=6,y=0x=6,\qquad y=0