Answer: \((x, y) = (5, 1)\)
Ordered pairs for \(x + y = 6\):
| \(x\) | \(0\) | \(6\) | \(5\) |
| \(y\) | \(6\) | \(0\) | \(1\) |
| \((x, y)\) | \((0, 6)\) | \((6, 0)\) | \((5, 1)\) |
Ordered pairs for \(x - y = 4\):
| \(x\) | \(4\) | \(0\) | \(5\) |
| \(y\) | \(0\) | \(-4\) | \(1\) |
| \((x, y)\) | \((4, 0)\) | \((0, -4)\) | \((5, 1)\) |
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 \((5, 1)\).
Check: \(1(5) + 1(1) = 6\) and \(1(5) + (-1)(1) = 4\) – both true.