Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis | X

Exercise 3.2
Q.7 Draw the graphs of the equations 𝑥 – 𝑦 + 1 = 0 and 3𝑥 + 2𝑦 – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

Sol:
From the figure, it can be observed that these lines are intersecting each other at point (2, 3) and x-axis at (−1, 0) and (4, 0)

Therefore, the vertices of the triangle are (2, 3), (−1, 0) and (4, 0).

represent the pair of linear equations geometrically, hence find the solution,

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