Answer: \((x, y) = (0, 5)\)
Write the equations as \(5x - 6y = -30\) and \(5x + 4y = 20\).
Ordered pairs for \(5x - 6y = -30\):
| \(x\) | \(0\) | \(-6\) | \(6\) |
| \(y\) | \(5\) | \(0\) | \(10\) |
| \((x, y)\) | \((0, 5)\) | \((-6, 0)\) | \((6, 10)\) |
Ordered pairs for \(5x + 4y = 20\):
| \(x\) | \(0\) | \(4\) | \(-4\) |
| \(y\) | \(5\) | \(0\) | \(10\) |
| \((x, y)\) | \((0, 5)\) | \((4, 0)\) | \((-4, 10)\) |
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 \((0, 5)\).
Check: \(5(0) + (-6)(5) = -30\) and \(5(0) + 4(5) = 20\) – both true.