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