Answer: \((x, y) = (2, 4)\)
Write \(3x - y - 2 = 0\) as \(3x - y = 2\).
Ordered pairs for \(3x - y = 2\):
| \(x\) | \(0\) | \(1\) | \(2\) |
| \(y\) | \(-2\) | \(1\) | \(4\) |
| \((x, y)\) | \((0, -2)\) | \((1, 1)\) | \((2, 4)\) |
Ordered pairs for \(2x + y = 8\):
| \(x\) | \(0\) | \(4\) | \(2\) |
| \(y\) | \(8\) | \(0\) | \(4\) |
| \((x, y)\) | \((0, 8)\) | \((4, 0)\) | \((2, 4)\) |
Plot both sets of points on the same graph paper (scale: 1 cm = 1 unit on both axes) and join each set to get two straight lines. The lines intersect at \((2, 4)\).
Check: \(3(2) + (-1)(4) = 2\) and \(2(2) + 1(4) = 8\) – both true.