Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the co-ordinates of the vertices of the triangle formed by these lines and the x-axis and shade the triangular region.
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Given that:-
Solving the equation (1)...
Let x = 0,
So,
- x = 0, y = 1 is a solution
- i.e, (0,1) is the solution.
Let x = 1,
So,
- x = 1, y = 2 is the solution
- i.e, (1,2) is the solution.
Solving the given equation(2)
Let x = 0,
So,
- x = 0, y = 6 is the solution
- i.e, (0,6) is the solution.
Let x = 2
So,
- x = 2, y = 3 is the solution.
- i.e, (2,3) is the solution.
Now:-
- We have to plot both equations on the graph!!
- Check the graph in the given attachment!!
Therefore,
- The triangle formed by the lines and x-axis is △ABC.
Where as,
- A is (2, 3)
- B is (-1, 0)
- C is (4, 0)
Attachments:
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