Solve the pair of linear equations graphically + 3 = 6 and 2 − 3 = 12Also shade the region bounded by the line 2 − 3 = 12 and both the coordinates.

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Solve the pair of linear equations graphically 𝑥 + 3𝑦 = 6 and 2𝑥 − 3𝑦 = 12

Also shade the region bounded by the line 2𝑥 − 3𝑦 = 12 and both the coordinates.

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Detailed Solution

: Given equations are

𝑥 + 3𝑦 = 6 …(𝑖)

2𝑥 − 3𝑦 = 12 …(𝑖𝑖)

From (𝑖), 𝑥 = 6 − 3𝑦

From (𝑖𝑖), 𝑥 = $F r o m (𝑖 𝑖), 𝑥 = \frac{12 + 3 y}{2}$

By plotting the points in the graph, we get

Both lines intersect at (6, 0)

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