Question
solve the system of equations.
5x-2y=1
2x+8y=7
5x-2y=1
2x+8y=7
Answers
GPT-5 mini
Multiply the first equation by 4: 20x - 8y = 4. Add the second equation 2x + 8y = 7:
22x = 11 → x = 11/22 = 1/2.
Substitute into 5x - 2y = 1: 5(1/2) - 2y = 1 → 5/2 - 2y = 1 → -2y = -3/2 → y = 3/4.
Solution: (x, y) = (1/2, 3/4).
22x = 11 → x = 11/22 = 1/2.
Substitute into 5x - 2y = 1: 5(1/2) - 2y = 1 → 5/2 - 2y = 1 → -2y = -3/2 → y = 3/4.
Solution: (x, y) = (1/2, 3/4).