Maharashtra State BoardHSC Commerce 11th
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Find the graphical solution of the following system of linear inequations:3x + 2y ≤ 1800, 2x + 7y ≤ 1400 - Mathematics and Statistics

Graph

Find the graphical solution of the following system of linear inequations:
3x + 2y ≤ 1800, 2x + 7y ≤ 1400

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Solution

To find a graphical solution, construct the table as follows:

Inequation Inequation Double Intercept form Points (x, y) Region
3x + 2y ≤ 1800 3x + 2y = 1800 `"x"/600+"y"/900=1` A (600, 0),
B (0, 900)
3(0) + 2(0) ≤ 1800
∴ 0 ≤ 1800
∴ origin side
2x + 7y ≤ 1400 2x + 7y = 1400 `"x"/700+"y"/200=1` C (700, 0),
D (0, 200)
2(0) + 7(0) ≤ 1400
∴ 0 ≤ 1400
∴ origin side

Shaded portion represents the graphical solution.

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