linear equation in two unknowns It is known that the two solutions of the binary linear equation AX by + 4 = 0 are x = 1, y = 2 and x = 3, y = 5. Try to judge whether x = 2, y = 6 and x = - 1, y = - 1 are the solutions of the binary linear equation respectively

linear equation in two unknowns It is known that the two solutions of the binary linear equation AX by + 4 = 0 are x = 1, y = 2 and x = 3, y = 5. Try to judge whether x = 2, y = 6 and x = - 1, y = - 1 are the solutions of the binary linear equation respectively

Substituting x = 1, y = 2 and x = 3, y = 5, we can get a-2b + 4 = 0, a-2b = - 4 (1) 3a-5b + 4 = 03a-5b = - 4 (2) (1) X3, 3a-3b = - 12 (3) (2) - (3) - 2B = 8b = - 4, we can get a = - 8-4a + 8y + 4 = 08y-4a = 4, substituting x = 2, y = 6 and x = - 1, y = - 1, we can get x = - 1, y = - 1 is the solution of the original equation

Mathematical problem of quadratic equation of two variables
The circular track of a stadium is 400 meters long. A and B practice long-distance running and cycling at a certain speed. If they are going in the opposite direction, they will meet each other every 30 seconds. If they are going in the same direction, B will catch up with a every 80 seconds. What are the speeds of a and B?

Let a velocity x B velocity y
30(x+y)=400
80(y-x)=400
The solution is x = 25 / 6, y = 55 / 6