Question 6
Draw the graphs of the equations 5x - y = 5 and 3x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.

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Solution

5x - y = 5
or, y = 5x - 5
The solution table will be as follows.
$\begin{matrix} x & 0 & 1 & 2 y & - 5 & 0 & 5 \end{matrix}$
3x-y=3
or, y = 3x - 3
$\begin{matrix} x & 0 & 1 & 2 y & - 3 & 0 & 3 \end{matrix}$
The graphical representation of these lines will be as follows:

It can be observed that the required triangle triangle is $Δ$ ACE formed by these lines and y axis.
The coordinates of vertices are A (1,0), C (0,-3), E (0,-5).

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Question 6 Draw the graphs of the equations 5x - y = 5 and 3x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.

Question 6
Draw the graphs of the equations 5x - y = 5 and 3x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.