Solving X-Y = 500 and X + 15 ‰ X - [Y-10 ‰ y] = 950 by the method of adding, subtracting and eliminating elements of binary linear equations

Solving X-Y = 500 and X + 15 ‰ X - [Y-10 ‰ y] = 950 by the method of adding, subtracting and eliminating elements of binary linear equations

x≈0.4738
y=-499.526

The substitution method or addition and subtraction elimination method can be used to solve binary linear equations
There are also 3x of 4 plus 2Y = - 3Y of 3 + 5Y = 2x of 5 + y + 2, which are not written in the form of equations,

x/3+(y+1)/6=3…… ① 2(y-x/2)=3(y-x/18)…… ②
From ②, we can get: 2y-x = 3y-x / 6, that is: y = - 5x / 6 ③
In this paper, we get the following result: X / 3 + (- 5x / 6 + 1) / 6 = 3, that is, 2x-5x / 6 + 1 = 18
The result of Generation X is y = - 85 / 7
∴{x=102/7 y=-85/7
(3x+2y)/4=-(x+5y)/3=(2x+y+2)/5
That is: (3x + 2Y) / 4 = - (x + 5Y) / 3 ① -(x+5y)/3=(2x+y)/5+2…… ②
From (1) we get: x = - 2Y ③
In this paper, we get the following result: y = - 5
Generation 3: x = 10
∴{x=10 y=-5

It is known that x = 3, y = 3 and x = 2, y = 1 are the solutions of the binary linear equation y-ax = B about X, y, and find the values of a and B

Substituting into the equation
3-3a=b
1-2a=b
2-A = 0, that is, a = 2
B = - 3