Determine, graphically, the vertices of the triangle formed by the lines y = x, 3y = x, x + y = 8
Solution:
y = x
y – x = 0
x | 0 | 1 |
y | 0 | 1 |
3y – x = 0
x | 0 | 3 |
y | 0 | 1 |
x + y = 8
x | 0 | 8 |
y | 8 | 0 |
The require triangle is ABC with vertices (0, 0), (4, 4), (2, 6)