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A shopkeeper sells kg of rice and kg of wheat, 40 kg in all, so . Where does the graph of this equation meet the -axis, and what does that point mean?

Class 9Linear Equations in Two VariablesLinear Equations
  • A(40, 0) — he sold no rice and 40 kg of wheat
  • B(0, 40) — he sold 40 kg of rice and no wheat
  • C(20, 20) — he sold equal amounts of each
  • D(0, 40) — he sold no rice and 40 kg of wheat

Step-by-Step Solution

The graph meets the -axis where , so gives the point (0, 40). Since stands for the rice, means no rice was sold and the whole 40 kg was wheat.
Answer: D) (0, 40) — he sold no rice and 40 kg of wheat

Key idea: Equations of the x-axis and y-axis

**-axis**: every point on the -axis has . So the -axis is the line **-axis**: every point on the -axis has . So the -axis is the line ****.

These are special cases of 'lines parallel to the axes' — except they ARE the axes themselves.

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