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Pair of Linear Equations in Two Variables
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28/05/2021 11:21 am
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Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the coordinates of the vertices of the triangle formed by these lines and the y axis.
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28/05/2021 11:28 am
Given,
5x – y = 5
=> y = 5x – 5
Its solution table will be
x \(\rightarrow\) 2, 1, 0
y \(\rightarrow\) 5, 0, -5
Also given, 3x – y = 3
y = 3x – 3
x \(\rightarrow\) 2, 1, 0
y \(\rightarrow\) 5, 0, -5
The graphical representation of these lines will be as follows:
From the above graph we can see that the triangle formed is ∆ABC by the lines and the y axis. Also the coordinates of the vertices are A(1,0), C(0,-5) and B(0,-3).