Solution :
The given linear equations are
5x – y = 5 ………(1)
3x – y = 3 ………(2)
From equation (1), y = 5x – 5
When x = 1, y = 5 – 5 = 0
When x = 2, y = 10 – 5 = 5
| x | 1 | 2 |
| y | 0 | 5 |
From equation (2), y = 3x – 3
When x = 0, y = -3
When x = 2, y = 3
| x | 0 | 2 |
| y | -3 | 3 |
Now, plot the above points on the graph, we get two lines.
We see that the line meets y-axis, the value of x is 0. In the equation 5x – y = 5, for x = 0, we get y = – 5.
Thus, the line 5x – y = 3 meets the y-axis at (0, -5).
and the line 3x – y = 3 meets the y-axis at (0, -3).
Thus, the coordinates of \(\triangle\) ACE formed by these two lines and the y-axis A(1, 0), C(0, – 3) and E(0, -5).
