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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