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Question

Draw the graphs of the following  equations graphically. 

$$3x - 4y + 6 = 0; 3x + y - 9 = 0$$.

Also, determine the coordinates of the vertices of the triangle formed by these lines and x - axis. 


Solution

The given
equation is $$3x - 4y + 6 = 0$$ and $$3x + y - 9 = 0$$.

Now, let us find atleast two solutions of each of the above
equations, as shown in the following tables.
Table for 
$$3x - 4y + 6 = 0$$ or $$ y = \frac{3x + 9} {4} $$ 
Now, table for 
$$3x + y - 9 = 0$$ or $$y = 9 - 3x$$
Here, the lines intersecting at point C (2, 3).

The coordinates of the verticles of $$\triangle ACD$$ are $$A(-2, 0), C(2, 3)$$ and $$D(3, 0)$$


1794333_1817001_ans_341ebc41d65843448e976544b515d122.PNG

Mathematics

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