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Solve the simultaneous linear equations: 3x - 2y = 13 and 4x + 5y = 25.

1. x = 5, y = 1
2. x = 3, y = -2
3. x = 5, y = -1
4. x = 1, y = -5

Correct answer: x = 5, y = 1

Solution

Multiply eq1 (3x - 2y = 13) by 5: 15x - 10y = 65. Multiply eq2 (4x + 5y = 25) by 2: 8x + 10y = 50. Add: 23x = 115 => x = 5. Substitute into eq1: 3(5) - 2y = 13 => 15 - 2y = 13 => 2y = 2 => y = 1. So x = 5, y = 1.

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