Answer: \((x, y) = (8, 4)\)
Here \(3y - x = 4\) is written as \(-x + 3y = 4\).
Ordered pairs for \(2x - 3y = 4\):
| \(x\) | \(2\) | \(5\) | \(8\) |
| \(y\) | \(0\) | \(2\) | \(4\) |
| \((x, y)\) | \((2, 0)\) | \((5, 2)\) | \((8, 4)\) |
Ordered pairs for \(-x + 3y = 4\):
| \(x\) | \(-4\) | \(2\) | \(8\) |
| \(y\) | \(0\) | \(2\) | \(4\) |
| \((x, y)\) | \((-4, 0)\) | \((2, 2)\) | \((8, 4)\) |
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 \((8, 4)\).
Check: \(2(8) + (-3)(4) = 4\) and \(-1(8) + 3(4) = 4\) – both true.