We know that the solution of the equations ax + by = 2, CX + 2Y = 10 is x = 2, y = 4. Xiao Fang misread C when solving the problem, and the result is x = 3, y = 6.5. Try to find the value of a.b.c

We know that the solution of the equations ax + by = 2, CX + 2Y = 10 is x = 2, y = 4. Xiao Fang misread C when solving the problem, and the result is x = 3, y = 6.5. Try to find the value of a.b.c

The first group of solutions x = 2, y = 4 in the problem can be directly solved by the equation c = 1 and the equation
2a+4b=2(*),
In addition, we bring the second set of solutions into the equation, and we can get C = - 1 and the equation similarly
3a+6.5b=2(**),
Now, by combining (*) and (* *), we can get a = 5 and B = - 2
The following is omitted. It is emphasized that no matter whether he reads it correctly or not, he always solves a set of values, which is our clue to solve the problem!