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.

Open in App

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 $Δ$ ABC formed by these lines and y axis.
The coordinates of vertices are A (1,0), B (0,-3), C (0,-5).

Suggest Corrections

Similar questions

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.

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 y-axis. Calculate the area of the triangle so formed.

Q. Draw the graphs of the equations

x - y + 1 = 0

and

3 x + 2 y - 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.

Join BYJU'S Learning Program

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.